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Finding the Fourth Proportional to 32,753.10, 49,120.65 and 9,055.02

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Solution

The fourth proportional to 32,753.10, 49,120.65 and 9,055.02 is: 13,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.10 : 49,120.65 = 9,055.02 : x
  2. Step 2: Convert to fraction form
    32,753.10/49,120.65 = 9,055.02/x
  3. Step 3: Cross multiply
    32,753.10x = 49,120.65 × 9,055.02
  4. Step 4: Simplify right side
    32,753.10x = 444,788,468.16
  5. Step 5: Solve for x
    x = 444,788,468.16/32,753.10
  6. Step 6: Final answer
    x = 13,580.04

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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.