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Finding the Fourth Proportional to 31,402.18, 43,338.03 and 17,970.76

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Solution

The fourth proportional to 31,402.18, 43,338.03 and 17,970.76 is: 24,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.18 : 43,338.03 = 17,970.76 : x
  2. Step 2: Convert to fraction form
    31,402.18/43,338.03 = 17,970.76/x
  3. Step 3: Cross multiply
    31,402.18x = 43,338.03 × 17,970.76
  4. Step 4: Simplify right side
    31,402.18x = 778,817,336.00
  5. Step 5: Solve for x
    x = 778,817,336.00/31,402.18
  6. Step 6: Final answer
    x = 24,801.38

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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.