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Finding the Fourth Proportional to 69,710.32, 96,200.40 and 37,878.52

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Solution

The fourth proportional to 69,710.32, 96,200.40 and 37,878.52 is: 52,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,710.32 : 96,200.40 = 37,878.52 : x
  2. Step 2: Convert to fraction form
    69,710.32/96,200.40 = 37,878.52/x
  3. Step 3: Cross multiply
    69,710.32x = 96,200.40 × 37,878.52
  4. Step 4: Simplify right side
    69,710.32x = 3,643,928,775.41
  5. Step 5: Solve for x
    x = 3,643,928,775.41/69,710.32
  6. Step 6: Final answer
    x = 52,272.44

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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.