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Finding the Fourth Proportional to 70,223.26, 96,908.06 and 38,392.14

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Solution

The fourth proportional to 70,223.26, 96,908.06 and 38,392.14 is: 52,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,223.26 : 96,908.06 = 38,392.14 : x
  2. Step 2: Convert to fraction form
    70,223.26/96,908.06 = 38,392.14/x
  3. Step 3: Cross multiply
    70,223.26x = 96,908.06 × 38,392.14
  4. Step 4: Simplify right side
    70,223.26x = 3,720,507,806.65
  5. Step 5: Solve for x
    x = 3,720,507,806.65/70,223.26
  6. Step 6: Final answer
    x = 52,981.13

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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.