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Finding the Fourth Proportional to 78,242.92, 107,975.22 and 42,433

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Solution

The fourth proportional to 78,242.92, 107,975.22 and 42,433 is: 58,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.92 : 107,975.22 = 42,433 : x
  2. Step 2: Convert to fraction form
    78,242.92/107,975.22 = 42,433/x
  3. Step 3: Cross multiply
    78,242.92x = 107,975.22 × 42,433
  4. Step 4: Simplify right side
    78,242.92x = 4,581,712,510.26
  5. Step 5: Solve for x
    x = 4,581,712,510.26/78,242.92
  6. Step 6: Final answer
    x = 58,557.53

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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.