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Finding the Fourth Proportional to 32,309.42, 48,444.28 and 12,564.96

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Solution

The fourth proportional to 32,309.42, 48,444.28 and 12,564.96 is: 18,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.42 : 48,444.28 = 12,564.96 : x
  2. Step 2: Convert to fraction form
    32,309.42/48,444.28 = 12,564.96/x
  3. Step 3: Cross multiply
    32,309.42x = 48,444.28 × 12,564.96
  4. Step 4: Simplify right side
    32,309.42x = 608,700,440.43
  5. Step 5: Solve for x
    x = 608,700,440.43/32,309.42
  6. Step 6: Final answer
    x = 18,839.72

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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.