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Finding the Fourth Proportional to 91,892.70, 137,863.05 and 29,564.70

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Solution

The fourth proportional to 91,892.70, 137,863.05 and 29,564.70 is: 44,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,892.70 : 137,863.05 = 29,564.70 : x
  2. Step 2: Convert to fraction form
    91,892.70/137,863.05 = 29,564.70/x
  3. Step 3: Cross multiply
    91,892.70x = 137,863.05 × 29,564.70
  4. Step 4: Simplify right side
    91,892.70x = 4,075,879,714.34
  5. Step 5: Solve for x
    x = 4,075,879,714.34/91,892.70
  6. Step 6: Final answer
    x = 44,354.77

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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.