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Finding the Fourth Proportional to 32,484.53, 48,728.18 and 10,299.51

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Solution

The fourth proportional to 32,484.53, 48,728.18 and 10,299.51 is: 15,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.53 : 48,728.18 = 10,299.51 : x
  2. Step 2: Convert to fraction form
    32,484.53/48,728.18 = 10,299.51/x
  3. Step 3: Cross multiply
    32,484.53x = 48,728.18 × 10,299.51
  4. Step 4: Simplify right side
    32,484.53x = 501,876,402.94
  5. Step 5: Solve for x
    x = 501,876,402.94/32,484.53
  6. Step 6: Final answer
    x = 15,449.70

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Why These Related Problems?

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