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Finding the Fourth Proportional to 32,575, 48,779.80 and 27,296.13

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Solution

The fourth proportional to 32,575, 48,779.80 and 27,296.13 is: 40,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575 : 48,779.80 = 27,296.13 : x
  2. Step 2: Convert to fraction form
    32,575/48,779.80 = 27,296.13/x
  3. Step 3: Cross multiply
    32,575x = 48,779.80 × 27,296.13
  4. Step 4: Simplify right side
    32,575x = 1,331,499,762.17
  5. Step 5: Solve for x
    x = 1,331,499,762.17/32,575
  6. Step 6: Final answer
    x = 40,874.90

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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.