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Finding the Fourth Proportional to 31,038.60, 42,838.02 and 17,611.32

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Solution

The fourth proportional to 31,038.60, 42,838.02 and 17,611.32 is: 24,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.60 : 42,838.02 = 17,611.32 : x
  2. Step 2: Convert to fraction form
    31,038.60/42,838.02 = 17,611.32/x
  3. Step 3: Cross multiply
    31,038.60x = 42,838.02 × 17,611.32
  4. Step 4: Simplify right side
    31,038.60x = 754,434,078.39
  5. Step 5: Solve for x
    x = 754,434,078.39/31,038.60
  6. Step 6: Final answer
    x = 24,306.32

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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.