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Finding the Fourth Proportional to 70,106.70, 96,747.57 and 38,276.31

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Solution

The fourth proportional to 70,106.70, 96,747.57 and 38,276.31 is: 52,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.70 : 96,747.57 = 38,276.31 : x
  2. Step 2: Convert to fraction form
    70,106.70/96,747.57 = 38,276.31/x
  3. Step 3: Cross multiply
    70,106.70x = 96,747.57 × 38,276.31
  4. Step 4: Simplify right side
    70,106.70x = 3,703,139,981.07
  5. Step 5: Solve for x
    x = 3,703,139,981.07/70,106.70
  6. Step 6: Final answer
    x = 52,821.48

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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.