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Finding the Fourth Proportional to 101,651.16, 152,491.44 and 38,454.14

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Solution

The fourth proportional to 101,651.16, 152,491.44 and 38,454.14 is: 57,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,651.16 : 152,491.44 = 38,454.14 : x
  2. Step 2: Convert to fraction form
    101,651.16/152,491.44 = 38,454.14/x
  3. Step 3: Cross multiply
    101,651.16x = 152,491.44 × 38,454.14
  4. Step 4: Simplify right side
    101,651.16x = 5,863,927,182.56
  5. Step 5: Solve for x
    x = 5,863,927,182.56/101,651.16
  6. Step 6: Final answer
    x = 57,686.77

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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.