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Finding the Fourth Proportional to 132,400, 198,598.28 and 32,561.08

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Solution

The fourth proportional to 132,400, 198,598.28 and 32,561.08 is: 48,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,400 : 198,598.28 = 32,561.08 : x
  2. Step 2: Convert to fraction form
    132,400/198,598.28 = 32,561.08/x
  3. Step 3: Cross multiply
    132,400x = 198,598.28 × 32,561.08
  4. Step 4: Simplify right side
    132,400x = 6,466,574,482.94
  5. Step 5: Solve for x
    x = 6,466,574,482.94/132,400
  6. Step 6: Final answer
    x = 48,841.20

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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.