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Finding the Fourth Proportional to 32,391, 48,508.13 and 15,709.73

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Solution

The fourth proportional to 32,391, 48,508.13 and 15,709.73 is: 23,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,391 : 48,508.13 = 15,709.73 : x
  2. Step 2: Convert to fraction form
    32,391/48,508.13 = 15,709.73/x
  3. Step 3: Cross multiply
    32,391x = 48,508.13 × 15,709.73
  4. Step 4: Simplify right side
    32,391x = 762,049,421.84
  5. Step 5: Solve for x
    x = 762,049,421.84/32,391
  6. Step 6: Final answer
    x = 23,526.58

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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.