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Finding the Fourth Proportional to 52,104.90, 71,904.20 and 28,230.16

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Solution

The fourth proportional to 52,104.90, 71,904.20 and 28,230.16 is: 38,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.90 : 71,904.20 = 28,230.16 : x
  2. Step 2: Convert to fraction form
    52,104.90/71,904.20 = 28,230.16/x
  3. Step 3: Cross multiply
    52,104.90x = 71,904.20 × 28,230.16
  4. Step 4: Simplify right side
    52,104.90x = 2,029,867,070.67
  5. Step 5: Solve for x
    x = 2,029,867,070.67/52,104.90
  6. Step 6: Final answer
    x = 38,957.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.