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Finding the Fourth Proportional to 69,710.08, 96,200.52 and 37,878.98

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Solution

The fourth proportional to 69,710.08, 96,200.52 and 37,878.98 is: 52,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,710.08 : 96,200.52 = 37,878.98 : x
  2. Step 2: Convert to fraction form
    69,710.08/96,200.52 = 37,878.98/x
  3. Step 3: Cross multiply
    69,710.08x = 96,200.52 × 37,878.98
  4. Step 4: Simplify right side
    69,710.08x = 3,643,976,950.02
  5. Step 5: Solve for x
    x = 3,643,976,950.02/69,710.08
  6. Step 6: Final answer
    x = 52,273.32

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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.