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Finding the Fourth Proportional to 97,862.68, 146,794.02 and 38,726.20

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Solution

The fourth proportional to 97,862.68, 146,794.02 and 38,726.20 is: 58,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,862.68 : 146,794.02 = 38,726.20 : x
  2. Step 2: Convert to fraction form
    97,862.68/146,794.02 = 38,726.20/x
  3. Step 3: Cross multiply
    97,862.68x = 146,794.02 × 38,726.20
  4. Step 4: Simplify right side
    97,862.68x = 5,684,774,577.32
  5. Step 5: Solve for x
    x = 5,684,774,577.32/97,862.68
  6. Step 6: Final answer
    x = 58,089.30

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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.