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Finding the Fourth Proportional to 32,411.92, 48,624.40 and 10,228.72

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Solution

The fourth proportional to 32,411.92, 48,624.40 and 10,228.72 is: 15,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.92 : 48,624.40 = 10,228.72 : x
  2. Step 2: Convert to fraction form
    32,411.92/48,624.40 = 10,228.72/x
  3. Step 3: Cross multiply
    32,411.92x = 48,624.40 × 10,228.72
  4. Step 4: Simplify right side
    32,411.92x = 497,365,372.77
  5. Step 5: Solve for x
    x = 497,365,372.77/32,411.92
  6. Step 6: Final answer
    x = 15,345.14

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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.