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Finding the Fourth Proportional to 83,312.69, 114,965.81 and 47,504.21

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Solution

The fourth proportional to 83,312.69, 114,965.81 and 47,504.21 is: 65,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312.69 : 114,965.81 = 47,504.21 : x
  2. Step 2: Convert to fraction form
    83,312.69/114,965.81 = 47,504.21/x
  3. Step 3: Cross multiply
    83,312.69x = 114,965.81 × 47,504.21
  4. Step 4: Simplify right side
    83,312.69x = 5,461,359,743.54
  5. Step 5: Solve for x
    x = 5,461,359,743.54/83,312.69
  6. Step 6: Final answer
    x = 65,552.56

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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.