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Finding the Fourth Proportional to 57,160.74, 78,875.76 and 31,666.38

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Solution

The fourth proportional to 57,160.74, 78,875.76 and 31,666.38 is: 43,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160.74 : 78,875.76 = 31,666.38 : x
  2. Step 2: Convert to fraction form
    57,160.74/78,875.76 = 31,666.38/x
  3. Step 3: Cross multiply
    57,160.74x = 78,875.76 × 31,666.38
  4. Step 4: Simplify right side
    57,160.74x = 2,497,709,788.95
  5. Step 5: Solve for x
    x = 2,497,709,788.95/57,160.74
  6. Step 6: Final answer
    x = 43,696.25

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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.