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Finding the Fourth Proportional to 70,149.40, 96,782.16 and 39,927.16

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Solution

The fourth proportional to 70,149.40, 96,782.16 and 39,927.16 is: 55,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.40 : 96,782.16 = 39,927.16 : x
  2. Step 2: Convert to fraction form
    70,149.40/96,782.16 = 39,927.16/x
  3. Step 3: Cross multiply
    70,149.40x = 96,782.16 × 39,927.16
  4. Step 4: Simplify right side
    70,149.40x = 3,864,236,787.47
  5. Step 5: Solve for x
    x = 3,864,236,787.47/70,149.40
  6. Step 6: Final answer
    x = 55,085.81

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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.