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Finding the Fourth Proportional to 32,402.25, 48,603.42 and 10,215.18

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Solution

The fourth proportional to 32,402.25, 48,603.42 and 10,215.18 is: 15,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.25 : 48,603.42 = 10,215.18 : x
  2. Step 2: Convert to fraction form
    32,402.25/48,603.42 = 10,215.18/x
  3. Step 3: Cross multiply
    32,402.25x = 48,603.42 × 10,215.18
  4. Step 4: Simplify right side
    32,402.25x = 496,492,683.92
  5. Step 5: Solve for x
    x = 496,492,683.92/32,402.25
  6. Step 6: Final answer
    x = 15,322.78

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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.