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Finding the Fourth Proportional to 70,868.46, 106,288.08 and 31,400.40

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Solution

The fourth proportional to 70,868.46, 106,288.08 and 31,400.40 is: 47,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,868.46 : 106,288.08 = 31,400.40 : x
  2. Step 2: Convert to fraction form
    70,868.46/106,288.08 = 31,400.40/x
  3. Step 3: Cross multiply
    70,868.46x = 106,288.08 × 31,400.40
  4. Step 4: Simplify right side
    70,868.46x = 3,337,488,227.23
  5. Step 5: Solve for x
    x = 3,337,488,227.23/70,868.46
  6. Step 6: Final answer
    x = 47,094.13

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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.