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Finding the Fourth Proportional to 132,396, 198,592.28 and 32,557.06

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Solution

The fourth proportional to 132,396, 198,592.28 and 32,557.06 is: 48,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,396 : 198,592.28 = 32,557.06 : x
  2. Step 2: Convert to fraction form
    132,396/198,592.28 = 32,557.06/x
  3. Step 3: Cross multiply
    132,396x = 198,592.28 × 32,557.06
  4. Step 4: Simplify right side
    132,396x = 6,465,580,775.50
  5. Step 5: Solve for x
    x = 6,465,580,775.50/132,396
  6. Step 6: Final answer
    x = 48,835.17

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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.