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Finding the Fourth Proportional to 29,901.14, 44,854.32 and 7,714.34

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Solution

The fourth proportional to 29,901.14, 44,854.32 and 7,714.34 is: 11,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,901.14 : 44,854.32 = 7,714.34 : x
  2. Step 2: Convert to fraction form
    29,901.14/44,854.32 = 7,714.34/x
  3. Step 3: Cross multiply
    29,901.14x = 44,854.32 × 7,714.34
  4. Step 4: Simplify right side
    29,901.14x = 346,021,474.95
  5. Step 5: Solve for x
    x = 346,021,474.95/29,901.14
  6. Step 6: Final answer
    x = 11,572.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.