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Finding the Fourth Proportional to 32,712.60, 49,069.20 and 9,020.55

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Solution

The fourth proportional to 32,712.60, 49,069.20 and 9,020.55 is: 13,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.60 : 49,069.20 = 9,020.55 : x
  2. Step 2: Convert to fraction form
    32,712.60/49,069.20 = 9,020.55/x
  3. Step 3: Cross multiply
    32,712.60x = 49,069.20 × 9,020.55
  4. Step 4: Simplify right side
    32,712.60x = 442,631,339.16
  5. Step 5: Solve for x
    x = 442,631,339.16/32,712.60
  6. Step 6: Final answer
    x = 13,530.91

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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.