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Finding the Fourth Proportional to 32,432.50, 48,632.82 and 12,705.76

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Solution

The fourth proportional to 32,432.50, 48,632.82 and 12,705.76 is: 19,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432.50 : 48,632.82 = 12,705.76 : x
  2. Step 2: Convert to fraction form
    32,432.50/48,632.82 = 12,705.76/x
  3. Step 3: Cross multiply
    32,432.50x = 48,632.82 × 12,705.76
  4. Step 4: Simplify right side
    32,432.50x = 617,916,939.04
  5. Step 5: Solve for x
    x = 617,916,939.04/32,432.50
  6. Step 6: Final answer
    x = 19,052.40

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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.