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Finding the Fourth Proportional to 32,651.60, 48,980.64 and 11,870.24

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Solution

The fourth proportional to 32,651.60, 48,980.64 and 11,870.24 is: 17,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.60 : 48,980.64 = 11,870.24 : x
  2. Step 2: Convert to fraction form
    32,651.60/48,980.64 = 11,870.24/x
  3. Step 3: Cross multiply
    32,651.60x = 48,980.64 × 11,870.24
  4. Step 4: Simplify right side
    32,651.60x = 581,411,952.15
  5. Step 5: Solve for x
    x = 581,411,952.15/32,651.60
  6. Step 6: Final answer
    x = 17,806.54

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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.