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Finding the Fourth Proportional to 71,952, 99,293.76 and 42,144

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Solution

The fourth proportional to 71,952, 99,293.76 and 42,144 is: 58,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,952 : 99,293.76 = 42,144 : x
  2. Step 2: Convert to fraction form
    71,952/99,293.76 = 42,144/x
  3. Step 3: Cross multiply
    71,952x = 99,293.76 × 42,144
  4. Step 4: Simplify right side
    71,952x = 4,184,636,221.44
  5. Step 5: Solve for x
    x = 4,184,636,221.44/71,952
  6. Step 6: Final answer
    x = 58,158.72

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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.