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Finding the Fourth Proportional to 51,461.69, 71,017.13 and 27,909.69

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Solution

The fourth proportional to 51,461.69, 71,017.13 and 27,909.69 is: 38,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,461.69 : 71,017.13 = 27,909.69 : x
  2. Step 2: Convert to fraction form
    51,461.69/71,017.13 = 27,909.69/x
  3. Step 3: Cross multiply
    51,461.69x = 71,017.13 × 27,909.69
  4. Step 4: Simplify right side
    51,461.69x = 1,982,066,082.99
  5. Step 5: Solve for x
    x = 1,982,066,082.99/51,461.69
  6. Step 6: Final answer
    x = 38,515.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.