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Finding the Fourth Proportional to 32,354.66, 48,469.78 and 19,838.18

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Solution

The fourth proportional to 32,354.66, 48,469.78 and 19,838.18 is: 29,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354.66 : 48,469.78 = 19,838.18 : x
  2. Step 2: Convert to fraction form
    32,354.66/48,469.78 = 19,838.18/x
  3. Step 3: Cross multiply
    32,354.66x = 48,469.78 × 19,838.18
  4. Step 4: Simplify right side
    32,354.66x = 961,552,220.20
  5. Step 5: Solve for x
    x = 961,552,220.20/32,354.66
  6. Step 6: Final answer
    x = 29,719.13

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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.