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Finding the Fourth Proportional to 70,992.40, 106,458.48 and 31,522.48

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Solution

The fourth proportional to 70,992.40, 106,458.48 and 31,522.48 is: 47,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,992.40 : 106,458.48 = 31,522.48 : x
  2. Step 2: Convert to fraction form
    70,992.40/106,458.48 = 31,522.48/x
  3. Step 3: Cross multiply
    70,992.40x = 106,458.48 × 31,522.48
  4. Step 4: Simplify right side
    70,992.40x = 3,355,835,306.63
  5. Step 5: Solve for x
    x = 3,355,835,306.63/70,992.40
  6. Step 6: Final answer
    x = 47,270.35

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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.