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Finding the Fourth Proportional to 32,605.30, 48,911.55 and 10,414.90

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Solution

The fourth proportional to 32,605.30, 48,911.55 and 10,414.90 is: 15,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.30 : 48,911.55 = 10,414.90 : x
  2. Step 2: Convert to fraction form
    32,605.30/48,911.55 = 10,414.90/x
  3. Step 3: Cross multiply
    32,605.30x = 48,911.55 × 10,414.90
  4. Step 4: Simplify right side
    32,605.30x = 509,408,902.10
  5. Step 5: Solve for x
    x = 509,408,902.10/32,605.30
  6. Step 6: Final answer
    x = 15,623.50

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1.5x scale

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.