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Finding the Fourth Proportional to 29,153.90, 40,135.17 and 27,814.93

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Solution

The fourth proportional to 29,153.90, 40,135.17 and 27,814.93 is: 38,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,153.90 : 40,135.17 = 27,814.93 : x
  2. Step 2: Convert to fraction form
    29,153.90/40,135.17 = 27,814.93/x
  3. Step 3: Cross multiply
    29,153.90x = 40,135.17 × 27,814.93
  4. Step 4: Simplify right side
    29,153.90x = 1,116,356,869.83
  5. Step 5: Solve for x
    x = 1,116,356,869.83/29,153.90
  6. Step 6: Final answer
    x = 38,291.85

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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.