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Finding the Fourth Proportional to 72,778, 109,167 and 29,032.72

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Solution

The fourth proportional to 72,778, 109,167 and 29,032.72 is: 43,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,778 : 109,167 = 29,032.72 : x
  2. Step 2: Convert to fraction form
    72,778/109,167 = 29,032.72/x
  3. Step 3: Cross multiply
    72,778x = 109,167 × 29,032.72
  4. Step 4: Simplify right side
    72,778x = 3,169,414,944.24
  5. Step 5: Solve for x
    x = 3,169,414,944.24/72,778
  6. Step 6: Final answer
    x = 43,549.08

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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.