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Finding the Fourth Proportional to 75,296.50, 103,909.17 and 41,762.50

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Solution

The fourth proportional to 75,296.50, 103,909.17 and 41,762.50 is: 57,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.50 : 103,909.17 = 41,762.50 : x
  2. Step 2: Convert to fraction form
    75,296.50/103,909.17 = 41,762.50/x
  3. Step 3: Cross multiply
    75,296.50x = 103,909.17 × 41,762.50
  4. Step 4: Simplify right side
    75,296.50x = 4,339,506,712.13
  5. Step 5: Solve for x
    x = 4,339,506,712.13/75,296.50
  6. Step 6: Final answer
    x = 57,632.25

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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.