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Finding the Fourth Proportional to 67,502.31, 93,193.02 and 46,312.71

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Solution

The fourth proportional to 67,502.31, 93,193.02 and 46,312.71 is: 63,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,502.31 : 93,193.02 = 46,312.71 : x
  2. Step 2: Convert to fraction form
    67,502.31/93,193.02 = 46,312.71/x
  3. Step 3: Cross multiply
    67,502.31x = 93,193.02 × 46,312.71
  4. Step 4: Simplify right side
    67,502.31x = 4,316,021,309.28
  5. Step 5: Solve for x
    x = 4,316,021,309.28/67,502.31
  6. Step 6: Final answer
    x = 63,938.87

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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.