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Finding the Fourth Proportional to 75,101.50, 103,641.69 and 41,567.50

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Solution

The fourth proportional to 75,101.50, 103,641.69 and 41,567.50 is: 57,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.50 : 103,641.69 = 41,567.50 : x
  2. Step 2: Convert to fraction form
    75,101.50/103,641.69 = 41,567.50/x
  3. Step 3: Cross multiply
    75,101.50x = 103,641.69 × 41,567.50
  4. Step 4: Simplify right side
    75,101.50x = 4,308,125,949.08
  5. Step 5: Solve for x
    x = 4,308,125,949.08/75,101.50
  6. Step 6: Final answer
    x = 57,364.05

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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.