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Finding the Fourth Proportional to 32,470, 48,706.39 and 12,752.82

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Solution

The fourth proportional to 32,470, 48,706.39 and 12,752.82 is: 19,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470 : 48,706.39 = 12,752.82 : x
  2. Step 2: Convert to fraction form
    32,470/48,706.39 = 12,752.82/x
  3. Step 3: Cross multiply
    32,470x = 48,706.39 × 12,752.82
  4. Step 4: Simplify right side
    32,470x = 621,143,824.52
  5. Step 5: Solve for x
    x = 621,143,824.52/32,470
  6. Step 6: Final answer
    x = 19,129.78

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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.