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Finding the Fourth Proportional to 76,299.31, 105,294.32 and 42,309.23

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Solution

The fourth proportional to 76,299.31, 105,294.32 and 42,309.23 is: 58,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,299.31 : 105,294.32 = 42,309.23 : x
  2. Step 2: Convert to fraction form
    76,299.31/105,294.32 = 42,309.23/x
  3. Step 3: Cross multiply
    76,299.31x = 105,294.32 × 42,309.23
  4. Step 4: Simplify right side
    76,299.31x = 4,454,921,602.57
  5. Step 5: Solve for x
    x = 4,454,921,602.57/76,299.31
  6. Step 6: Final answer
    x = 58,387.44

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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.