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Finding the Fourth Proportional to 105,651.48, 158,476.02 and 25,689.90

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Solution

The fourth proportional to 105,651.48, 158,476.02 and 25,689.90 is: 38,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,651.48 : 158,476.02 = 25,689.90 : x
  2. Step 2: Convert to fraction form
    105,651.48/158,476.02 = 25,689.90/x
  3. Step 3: Cross multiply
    105,651.48x = 158,476.02 × 25,689.90
  4. Step 4: Simplify right side
    105,651.48x = 4,071,233,106.20
  5. Step 5: Solve for x
    x = 4,071,233,106.20/105,651.48
  6. Step 6: Final answer
    x = 38,534.56

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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.