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Finding the Fourth Proportional to 31,056.52, 42,877.48 and 20,464.16

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Solution

The fourth proportional to 31,056.52, 42,877.48 and 20,464.16 is: 28,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.52 : 42,877.48 = 20,464.16 : x
  2. Step 2: Convert to fraction form
    31,056.52/42,877.48 = 20,464.16/x
  3. Step 3: Cross multiply
    31,056.52x = 42,877.48 × 20,464.16
  4. Step 4: Simplify right side
    31,056.52x = 877,451,611.12
  5. Step 5: Solve for x
    x = 877,451,611.12/31,056.52
  6. Step 6: Final answer
    x = 28,253.38

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Why These Related Problems?

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