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Finding the Fourth Proportional to 32,493.63, 48,732.95 and 10,302.87

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Solution

The fourth proportional to 32,493.63, 48,732.95 and 10,302.87 is: 15,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.63 : 48,732.95 = 10,302.87 : x
  2. Step 2: Convert to fraction form
    32,493.63/48,732.95 = 10,302.87/x
  3. Step 3: Cross multiply
    32,493.63x = 48,732.95 × 10,302.87
  4. Step 4: Simplify right side
    32,493.63x = 502,088,953.39
  5. Step 5: Solve for x
    x = 502,088,953.39/32,493.63
  6. Step 6: Final answer
    x = 15,451.92

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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.