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Finding the Fourth Proportional to 48,216.38, 66,543.45 and 27,798.98

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Solution

The fourth proportional to 48,216.38, 66,543.45 and 27,798.98 is: 38,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,216.38 : 66,543.45 = 27,798.98 : x
  2. Step 2: Convert to fraction form
    48,216.38/66,543.45 = 27,798.98/x
  3. Step 3: Cross multiply
    48,216.38x = 66,543.45 × 27,798.98
  4. Step 4: Simplify right side
    48,216.38x = 1,849,840,035.68
  5. Step 5: Solve for x
    x = 1,849,840,035.68/48,216.38
  6. Step 6: Final answer
    x = 38,365.39

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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.