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Finding the Fourth Proportional to 86,435.50, 129,675.13 and 24,106

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Solution

The fourth proportional to 86,435.50, 129,675.13 and 24,106 is: 36,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,435.50 : 129,675.13 = 24,106 : x
  2. Step 2: Convert to fraction form
    86,435.50/129,675.13 = 24,106/x
  3. Step 3: Cross multiply
    86,435.50x = 129,675.13 × 24,106
  4. Step 4: Simplify right side
    86,435.50x = 3,125,948,683.78
  5. Step 5: Solve for x
    x = 3,125,948,683.78/86,435.50
  6. Step 6: Final answer
    x = 36,165.10

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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.