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Finding the Fourth Proportional to 32,506.68, 48,767.32 and 10,320.78

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Solution

The fourth proportional to 32,506.68, 48,767.32 and 10,320.78 is: 15,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.68 : 48,767.32 = 10,320.78 : x
  2. Step 2: Convert to fraction form
    32,506.68/48,767.32 = 10,320.78/x
  3. Step 3: Cross multiply
    32,506.68x = 48,767.32 × 10,320.78
  4. Step 4: Simplify right side
    32,506.68x = 503,316,780.91
  5. Step 5: Solve for x
    x = 503,316,780.91/32,506.68
  6. Step 6: Final answer
    x = 15,483.49

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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.