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Finding the Fourth Proportional to 32,495.71, 48,748.21 and 10,008.29

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Solution

The fourth proportional to 32,495.71, 48,748.21 and 10,008.29 is: 15,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.71 : 48,748.21 = 10,008.29 : x
  2. Step 2: Convert to fraction form
    32,495.71/48,748.21 = 10,008.29/x
  3. Step 3: Cross multiply
    32,495.71x = 48,748.21 × 10,008.29
  4. Step 4: Simplify right side
    32,495.71x = 487,886,222.66
  5. Step 5: Solve for x
    x = 487,886,222.66/32,495.71
  6. Step 6: Final answer
    x = 15,013.87

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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.