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Finding the Fourth Proportional to 32,095.35, 48,122.50 and 15,422.20

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Solution

The fourth proportional to 32,095.35, 48,122.50 and 15,422.20 is: 23,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.35 : 48,122.50 = 15,422.20 : x
  2. Step 2: Convert to fraction form
    32,095.35/48,122.50 = 15,422.20/x
  3. Step 3: Cross multiply
    32,095.35x = 48,122.50 × 15,422.20
  4. Step 4: Simplify right side
    32,095.35x = 742,154,819.50
  5. Step 5: Solve for x
    x = 742,154,819.50/32,095.35
  6. Step 6: Final answer
    x = 23,123.44

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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.