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Finding the Fourth Proportional to 47,416.86, 65,432.62 and 29,511.30

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Solution

The fourth proportional to 47,416.86, 65,432.62 and 29,511.30 is: 40,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416.86 : 65,432.62 = 29,511.30 : x
  2. Step 2: Convert to fraction form
    47,416.86/65,432.62 = 29,511.30/x
  3. Step 3: Cross multiply
    47,416.86x = 65,432.62 × 29,511.30
  4. Step 4: Simplify right side
    47,416.86x = 1,931,001,678.61
  5. Step 5: Solve for x
    x = 1,931,001,678.61/47,416.86
  6. Step 6: Final answer
    x = 40,723.95

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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.