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Finding the Fourth Proportional to 32,543.60, 48,815.40 and 30,575.30

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Solution

The fourth proportional to 32,543.60, 48,815.40 and 30,575.30 is: 45,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543.60 : 48,815.40 = 30,575.30 : x
  2. Step 2: Convert to fraction form
    32,543.60/48,815.40 = 30,575.30/x
  3. Step 3: Cross multiply
    32,543.60x = 48,815.40 × 30,575.30
  4. Step 4: Simplify right side
    32,543.60x = 1,492,545,499.62
  5. Step 5: Solve for x
    x = 1,492,545,499.62/32,543.60
  6. Step 6: Final answer
    x = 45,862.95

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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.