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Finding the Fourth Proportional to 32,140.18, 48,209.46 and 9,952.66

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Solution

The fourth proportional to 32,140.18, 48,209.46 and 9,952.66 is: 14,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.18 : 48,209.46 = 9,952.66 : x
  2. Step 2: Convert to fraction form
    32,140.18/48,209.46 = 9,952.66/x
  3. Step 3: Cross multiply
    32,140.18x = 48,209.46 × 9,952.66
  4. Step 4: Simplify right side
    32,140.18x = 479,812,364.16
  5. Step 5: Solve for x
    x = 479,812,364.16/32,140.18
  6. Step 6: Final answer
    x = 14,928.74

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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.