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Finding the Fourth Proportional to 31,138.84, 42,980.76 and 17,717.60

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Solution

The fourth proportional to 31,138.84, 42,980.76 and 17,717.60 is: 24,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.84 : 42,980.76 = 17,717.60 : x
  2. Step 2: Convert to fraction form
    31,138.84/42,980.76 = 17,717.60/x
  3. Step 3: Cross multiply
    31,138.84x = 42,980.76 × 17,717.60
  4. Step 4: Simplify right side
    31,138.84x = 761,515,913.38
  5. Step 5: Solve for x
    x = 761,515,913.38/31,138.84
  6. Step 6: Final answer
    x = 24,455.50

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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.