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Finding the Fourth Proportional to 182,705.59, 274,047.45 and 49,582.90

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Solution

The fourth proportional to 182,705.59, 274,047.45 and 49,582.90 is: 74,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,705.59 : 274,047.45 = 49,582.90 : x
  2. Step 2: Convert to fraction form
    182,705.59/274,047.45 = 49,582.90/x
  3. Step 3: Cross multiply
    182,705.59x = 274,047.45 × 49,582.90
  4. Step 4: Simplify right side
    182,705.59x = 13,588,067,308.61
  5. Step 5: Solve for x
    x = 13,588,067,308.61/182,705.59
  6. Step 6: Final answer
    x = 74,371.38

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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.