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Finding the Fourth Proportional to 83,497.50, 115,226.82 and 45,257.67

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Solution

The fourth proportional to 83,497.50, 115,226.82 and 45,257.67 is: 62,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.50 : 115,226.82 = 45,257.67 : x
  2. Step 2: Convert to fraction form
    83,497.50/115,226.82 = 45,257.67/x
  3. Step 3: Cross multiply
    83,497.50x = 115,226.82 × 45,257.67
  4. Step 4: Simplify right side
    83,497.50x = 5,214,897,394.71
  5. Step 5: Solve for x
    x = 5,214,897,394.71/83,497.50
  6. Step 6: Final answer
    x = 62,455.73

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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.