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Finding the Fourth Proportional to 98,742.80, 148,129.61 and 32,167.46

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Solution

The fourth proportional to 98,742.80, 148,129.61 and 32,167.46 is: 48,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742.80 : 148,129.61 = 32,167.46 : x
  2. Step 2: Convert to fraction form
    98,742.80/148,129.61 = 32,167.46/x
  3. Step 3: Cross multiply
    98,742.80x = 148,129.61 × 32,167.46
  4. Step 4: Simplify right side
    98,742.80x = 4,764,952,403.01
  5. Step 5: Solve for x
    x = 4,764,952,403.01/98,742.80
  6. Step 6: Final answer
    x = 48,256.20

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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.