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Finding the Fourth Proportional to 32,124.64, 48,000.92 and 23,197.48

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Solution

The fourth proportional to 32,124.64, 48,000.92 and 23,197.48 is: 34,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.64 : 48,000.92 = 23,197.48 : x
  2. Step 2: Convert to fraction form
    32,124.64/48,000.92 = 23,197.48/x
  3. Step 3: Cross multiply
    32,124.64x = 48,000.92 × 23,197.48
  4. Step 4: Simplify right side
    32,124.64x = 1,113,500,381.68
  5. Step 5: Solve for x
    x = 1,113,500,381.68/32,124.64
  6. Step 6: Final answer
    x = 34,661.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.