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Finding the Fourth Proportional to 70,862.24, 106,306.32 and 29,312.48

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Solution

The fourth proportional to 70,862.24, 106,306.32 and 29,312.48 is: 43,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,862.24 : 106,306.32 = 29,312.48 : x
  2. Step 2: Convert to fraction form
    70,862.24/106,306.32 = 29,312.48/x
  3. Step 3: Cross multiply
    70,862.24x = 106,306.32 × 29,312.48
  4. Step 4: Simplify right side
    70,862.24x = 3,116,101,878.87
  5. Step 5: Solve for x
    x = 3,116,101,878.87/70,862.24
  6. Step 6: Final answer
    x = 43,974.08

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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.