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Finding the Fourth Proportional to 34,902, 52,301.88 and 21,714.24

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Solution

The fourth proportional to 34,902, 52,301.88 and 21,714.24 is: 32,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902 : 52,301.88 = 21,714.24 : x
  2. Step 2: Convert to fraction form
    34,902/52,301.88 = 21,714.24/x
  3. Step 3: Cross multiply
    34,902x = 52,301.88 × 21,714.24
  4. Step 4: Simplify right side
    34,902x = 1,135,695,574.77
  5. Step 5: Solve for x
    x = 1,135,695,574.77/34,902
  6. Step 6: Final answer
    x = 32,539.56

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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.