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Finding the Fourth Proportional to 31,898.85, 44,021.85 and 17,752.60

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Solution

The fourth proportional to 31,898.85, 44,021.85 and 17,752.60 is: 24,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.85 : 44,021.85 = 17,752.60 : x
  2. Step 2: Convert to fraction form
    31,898.85/44,021.85 = 17,752.60/x
  3. Step 3: Cross multiply
    31,898.85x = 44,021.85 × 17,752.60
  4. Step 4: Simplify right side
    31,898.85x = 781,502,294.31
  5. Step 5: Solve for x
    x = 781,502,294.31/31,898.85
  6. Step 6: Final answer
    x = 24,499.39

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1.5x scale

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.