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Finding the Fourth Proportional to 32,177.60, 48,266.40 and 24,401.60

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Solution

The fourth proportional to 32,177.60, 48,266.40 and 24,401.60 is: 36,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.60 : 48,266.40 = 24,401.60 : x
  2. Step 2: Convert to fraction form
    32,177.60/48,266.40 = 24,401.60/x
  3. Step 3: Cross multiply
    32,177.60x = 48,266.40 × 24,401.60
  4. Step 4: Simplify right side
    32,177.60x = 1,177,777,386.24
  5. Step 5: Solve for x
    x = 1,177,777,386.24/32,177.60
  6. Step 6: Final answer
    x = 36,602.40

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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.