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Finding the Fourth Proportional to 66,290.24, 99,432.12 and 24,734

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Solution

The fourth proportional to 66,290.24, 99,432.12 and 24,734 is: 37,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,290.24 : 99,432.12 = 24,734 : x
  2. Step 2: Convert to fraction form
    66,290.24/99,432.12 = 24,734/x
  3. Step 3: Cross multiply
    66,290.24x = 99,432.12 × 24,734
  4. Step 4: Simplify right side
    66,290.24x = 2,459,354,056.08
  5. Step 5: Solve for x
    x = 2,459,354,056.08/66,290.24
  6. Step 6: Final answer
    x = 37,099.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.