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Finding the Fourth Proportional to 70,823.34, 106,245.90 and 24,065.28

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Solution

The fourth proportional to 70,823.34, 106,245.90 and 24,065.28 is: 36,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,823.34 : 106,245.90 = 24,065.28 : x
  2. Step 2: Convert to fraction form
    70,823.34/106,245.90 = 24,065.28/x
  3. Step 3: Cross multiply
    70,823.34x = 106,245.90 × 24,065.28
  4. Step 4: Simplify right side
    70,823.34x = 2,556,837,332.35
  5. Step 5: Solve for x
    x = 2,556,837,332.35/70,823.34
  6. Step 6: Final answer
    x = 36,101.62

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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.