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Finding the Fourth Proportional to 34,902.32, 48,166.46 and 20,001.20

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Solution

The fourth proportional to 34,902.32, 48,166.46 and 20,001.20 is: 27,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902.32 : 48,166.46 = 20,001.20 : x
  2. Step 2: Convert to fraction form
    34,902.32/48,166.46 = 20,001.20/x
  3. Step 3: Cross multiply
    34,902.32x = 48,166.46 × 20,001.20
  4. Step 4: Simplify right side
    34,902.32x = 963,386,999.75
  5. Step 5: Solve for x
    x = 963,386,999.75/34,902.32
  6. Step 6: Final answer
    x = 27,602.38

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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.