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Finding the Fourth Proportional to 32,103.06, 48,114.48 and 15,460

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Solution

The fourth proportional to 32,103.06, 48,114.48 and 15,460 is: 23,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.06 : 48,114.48 = 15,460 : x
  2. Step 2: Convert to fraction form
    32,103.06/48,114.48 = 15,460/x
  3. Step 3: Cross multiply
    32,103.06x = 48,114.48 × 15,460
  4. Step 4: Simplify right side
    32,103.06x = 743,849,860.80
  5. Step 5: Solve for x
    x = 743,849,860.80/32,103.06
  6. Step 6: Final answer
    x = 23,170.68

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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.