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Finding the Fourth Proportional to 32,205.60, 48,308.40 and 24,429.60

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Solution

The fourth proportional to 32,205.60, 48,308.40 and 24,429.60 is: 36,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.60 : 48,308.40 = 24,429.60 : x
  2. Step 2: Convert to fraction form
    32,205.60/48,308.40 = 24,429.60/x
  3. Step 3: Cross multiply
    32,205.60x = 48,308.40 × 24,429.60
  4. Step 4: Simplify right side
    32,205.60x = 1,180,154,888.64
  5. Step 5: Solve for x
    x = 1,180,154,888.64/32,205.60
  6. Step 6: Final answer
    x = 36,644.40

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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.