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Finding the Fourth Proportional to 71,298.67, 107,053.14 and 39,770.33

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Solution

The fourth proportional to 71,298.67, 107,053.14 and 39,770.33 is: 59,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298.67 : 107,053.14 = 39,770.33 : x
  2. Step 2: Convert to fraction form
    71,298.67/107,053.14 = 39,770.33/x
  3. Step 3: Cross multiply
    71,298.67x = 107,053.14 × 39,770.33
  4. Step 4: Simplify right side
    71,298.67x = 4,257,539,206.21
  5. Step 5: Solve for x
    x = 4,257,539,206.21/71,298.67
  6. Step 6: Final answer
    x = 59,714.14

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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.