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Finding the Fourth Proportional to 86,241.32, 129,232.22 and 48,761

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Solution

The fourth proportional to 86,241.32, 129,232.22 and 48,761 is: 73,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,241.32 : 129,232.22 = 48,761 : x
  2. Step 2: Convert to fraction form
    86,241.32/129,232.22 = 48,761/x
  3. Step 3: Cross multiply
    86,241.32x = 129,232.22 × 48,761
  4. Step 4: Simplify right side
    86,241.32x = 6,301,492,279.42
  5. Step 5: Solve for x
    x = 6,301,492,279.42/86,241.32
  6. Step 6: Final answer
    x = 73,068.13

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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.