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Finding the Fourth Proportional to 107,123.85, 160,620.98 and 47,948.49

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Solution

The fourth proportional to 107,123.85, 160,620.98 and 47,948.49 is: 71,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,123.85 : 160,620.98 = 47,948.49 : x
  2. Step 2: Convert to fraction form
    107,123.85/160,620.98 = 47,948.49/x
  3. Step 3: Cross multiply
    107,123.85x = 160,620.98 × 47,948.49
  4. Step 4: Simplify right side
    107,123.85x = 7,701,533,213.58
  5. Step 5: Solve for x
    x = 7,701,533,213.58/107,123.85
  6. Step 6: Final answer
    x = 71,893.73

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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.