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Finding the Fourth Proportional to 82,248.94, 123,365.10 and 55,764.98

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Solution

The fourth proportional to 82,248.94, 123,365.10 and 55,764.98 is: 83,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,248.94 : 123,365.10 = 55,764.98 : x
  2. Step 2: Convert to fraction form
    82,248.94/123,365.10 = 55,764.98/x
  3. Step 3: Cross multiply
    82,248.94x = 123,365.10 × 55,764.98
  4. Step 4: Simplify right side
    82,248.94x = 6,879,452,334.20
  5. Step 5: Solve for x
    x = 6,879,452,334.20/82,248.94
  6. Step 6: Final answer
    x = 83,641.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.