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Finding the Fourth Proportional to 78,592.15, 108,457.17 and 42,782.42

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Solution

The fourth proportional to 78,592.15, 108,457.17 and 42,782.42 is: 59,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592.15 : 108,457.17 = 42,782.42 : x
  2. Step 2: Convert to fraction form
    78,592.15/108,457.17 = 42,782.42/x
  3. Step 3: Cross multiply
    78,592.15x = 108,457.17 × 42,782.42
  4. Step 4: Simplify right side
    78,592.15x = 4,640,060,550.31
  5. Step 5: Solve for x
    x = 4,640,060,550.31/78,592.15
  6. Step 6: Final answer
    x = 59,039.74

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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.