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Finding the Fourth Proportional to 31,885.02, 47,805.89 and 17,854.70

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Solution

The fourth proportional to 31,885.02, 47,805.89 and 17,854.70 is: 26,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.02 : 47,805.89 = 17,854.70 : x
  2. Step 2: Convert to fraction form
    31,885.02/47,805.89 = 17,854.70/x
  3. Step 3: Cross multiply
    31,885.02x = 47,805.89 × 17,854.70
  4. Step 4: Simplify right side
    31,885.02x = 853,559,495.88
  5. Step 5: Solve for x
    x = 853,559,495.88/31,885.02
  6. Step 6: Final answer
    x = 26,769.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.