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Finding the Fourth Proportional to 31,900.34, 44,021.40 and 17,752.88

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Solution

The fourth proportional to 31,900.34, 44,021.40 and 17,752.88 is: 24,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.34 : 44,021.40 = 17,752.88 : x
  2. Step 2: Convert to fraction form
    31,900.34/44,021.40 = 17,752.88/x
  3. Step 3: Cross multiply
    31,900.34x = 44,021.40 × 17,752.88
  4. Step 4: Simplify right side
    31,900.34x = 781,506,631.63
  5. Step 5: Solve for x
    x = 781,506,631.63/31,900.34
  6. Step 6: Final answer
    x = 24,498.38

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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.