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Finding the Fourth Proportional to 32,165.60, 48,291.60 and 20,530.40

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Solution

The fourth proportional to 32,165.60, 48,291.60 and 20,530.40 is: 30,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.60 : 48,291.60 = 20,530.40 : x
  2. Step 2: Convert to fraction form
    32,165.60/48,291.60 = 20,530.40/x
  3. Step 3: Cross multiply
    32,165.60x = 48,291.60 × 20,530.40
  4. Step 4: Simplify right side
    32,165.60x = 991,445,864.64
  5. Step 5: Solve for x
    x = 991,445,864.64/32,165.60
  6. Step 6: Final answer
    x = 30,823.17

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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.