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Finding the Fourth Proportional to 72,438.17, 99,947.32 and 42,206.31

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Solution

The fourth proportional to 72,438.17, 99,947.32 and 42,206.31 is: 58,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,438.17 : 99,947.32 = 42,206.31 : x
  2. Step 2: Convert to fraction form
    72,438.17/99,947.32 = 42,206.31/x
  3. Step 3: Cross multiply
    72,438.17x = 99,947.32 × 42,206.31
  4. Step 4: Simplify right side
    72,438.17x = 4,218,407,466.07
  5. Step 5: Solve for x
    x = 4,218,407,466.07/72,438.17
  6. Step 6: Final answer
    x = 58,234.60

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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.