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Finding the Fourth Proportional to 32,492.80, 48,686.40 and 29,382.40

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Solution

The fourth proportional to 32,492.80, 48,686.40 and 29,382.40 is: 44,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.80 : 48,686.40 = 29,382.40 : x
  2. Step 2: Convert to fraction form
    32,492.80/48,686.40 = 29,382.40/x
  3. Step 3: Cross multiply
    32,492.80x = 48,686.40 × 29,382.40
  4. Step 4: Simplify right side
    32,492.80x = 1,430,523,279.36
  5. Step 5: Solve for x
    x = 1,430,523,279.36/32,492.80
  6. Step 6: Final answer
    x = 44,025.85

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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.