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Finding the Fourth Proportional to 75,262.50, 103,865.49 and 45,042.08

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Solution

The fourth proportional to 75,262.50, 103,865.49 and 45,042.08 is: 62,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,262.50 : 103,865.49 = 45,042.08 : x
  2. Step 2: Convert to fraction form
    75,262.50/103,865.49 = 45,042.08/x
  3. Step 3: Cross multiply
    75,262.50x = 103,865.49 × 45,042.08
  4. Step 4: Simplify right side
    75,262.50x = 4,678,317,190.49
  5. Step 5: Solve for x
    x = 4,678,317,190.49/75,262.50
  6. Step 6: Final answer
    x = 62,160.00

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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.