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Finding the Fourth Proportional to 70,106.52, 96,748.66 and 38,275.65

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Solution

The fourth proportional to 70,106.52, 96,748.66 and 38,275.65 is: 52,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.52 : 96,748.66 = 38,275.65 : x
  2. Step 2: Convert to fraction form
    70,106.52/96,748.66 = 38,275.65/x
  3. Step 3: Cross multiply
    70,106.52x = 96,748.66 × 38,275.65
  4. Step 4: Simplify right side
    70,106.52x = 3,703,117,895.97
  5. Step 5: Solve for x
    x = 3,703,117,895.97/70,106.52
  6. Step 6: Final answer
    x = 52,821.30

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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.