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Finding the Fourth Proportional to 69,878.25, 96,433.70 and 38,048.88

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Solution

The fourth proportional to 69,878.25, 96,433.70 and 38,048.88 is: 52,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878.25 : 96,433.70 = 38,048.88 : x
  2. Step 2: Convert to fraction form
    69,878.25/96,433.70 = 38,048.88/x
  3. Step 3: Cross multiply
    69,878.25x = 96,433.70 × 38,048.88
  4. Step 4: Simplify right side
    69,878.25x = 3,669,194,089.01
  5. Step 5: Solve for x
    x = 3,669,194,089.01/69,878.25
  6. Step 6: Final answer
    x = 52,508.39

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1.5x scale

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.