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Finding the Fourth Proportional to 78,593.74, 108,460.28 and 42,784.38

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Solution

The fourth proportional to 78,593.74, 108,460.28 and 42,784.38 is: 59,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,593.74 : 108,460.28 = 42,784.38 : x
  2. Step 2: Convert to fraction form
    78,593.74/108,460.28 = 42,784.38/x
  3. Step 3: Cross multiply
    78,593.74x = 108,460.28 × 42,784.38
  4. Step 4: Simplify right side
    78,593.74x = 4,640,405,834.43
  5. Step 5: Solve for x
    x = 4,640,405,834.43/78,593.74
  6. Step 6: Final answer
    x = 59,042.94

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