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Finding the Fourth Proportional to 70,106.28, 96,745.32 and 38,275.38

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Solution

The fourth proportional to 70,106.28, 96,745.32 and 38,275.38 is: 52,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.28 : 96,745.32 = 38,275.38 : x
  2. Step 2: Convert to fraction form
    70,106.28/96,745.32 = 38,275.38/x
  3. Step 3: Cross multiply
    70,106.28x = 96,745.32 × 38,275.38
  4. Step 4: Simplify right side
    70,106.28x = 3,702,963,886.22
  5. Step 5: Solve for x
    x = 3,702,963,886.22/70,106.28
  6. Step 6: Final answer
    x = 52,819.29

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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.