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Finding the Fourth Proportional to 51,662.46, 71,275.86 and 33,767.81

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Solution

The fourth proportional to 51,662.46, 71,275.86 and 33,767.81 is: 46,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662.46 : 71,275.86 = 33,767.81 : x
  2. Step 2: Convert to fraction form
    51,662.46/71,275.86 = 33,767.81/x
  3. Step 3: Cross multiply
    51,662.46x = 71,275.86 × 33,767.81
  4. Step 4: Simplify right side
    51,662.46x = 2,406,829,341.69
  5. Step 5: Solve for x
    x = 2,406,829,341.69/51,662.46
  6. Step 6: Final answer
    x = 46,587.59

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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.