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Finding the Fourth Proportional to 72,714.10, 109,071.18 and 22,798.09

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Solution

The fourth proportional to 72,714.10, 109,071.18 and 22,798.09 is: 34,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,714.10 : 109,071.18 = 22,798.09 : x
  2. Step 2: Convert to fraction form
    72,714.10/109,071.18 = 22,798.09/x
  3. Step 3: Cross multiply
    72,714.10x = 109,071.18 × 22,798.09
  4. Step 4: Simplify right side
    72,714.10x = 2,486,614,305.37
  5. Step 5: Solve for x
    x = 2,486,614,305.37/72,714.10
  6. Step 6: Final answer
    x = 34,197.14

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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.