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Finding the Fourth Proportional to 70,106.64, 96,746.66 and 38,275.54

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Solution

The fourth proportional to 70,106.64, 96,746.66 and 38,275.54 is: 52,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.64 : 96,746.66 = 38,275.54 : x
  2. Step 2: Convert to fraction form
    70,106.64/96,746.66 = 38,275.54/x
  3. Step 3: Cross multiply
    70,106.64x = 96,746.66 × 38,275.54
  4. Step 4: Simplify right side
    70,106.64x = 3,703,030,508.52
  5. Step 5: Solve for x
    x = 3,703,030,508.52/70,106.64
  6. Step 6: Final answer
    x = 52,819.97

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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.