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Finding the Fourth Proportional to 32,127.64, 44,378.50 and 24,666.16

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Solution

The fourth proportional to 32,127.64, 44,378.50 and 24,666.16 is: 34,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,127.64 : 44,378.50 = 24,666.16 : x
  2. Step 2: Convert to fraction form
    32,127.64/44,378.50 = 24,666.16/x
  3. Step 3: Cross multiply
    32,127.64x = 44,378.50 × 24,666.16
  4. Step 4: Simplify right side
    32,127.64x = 1,094,647,181.56
  5. Step 5: Solve for x
    x = 1,094,647,181.56/32,127.64
  6. Step 6: Final answer
    x = 34,071.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.