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Finding the Fourth Proportional to 75,101.63, 103,641.86 and 41,567.63

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Solution

The fourth proportional to 75,101.63, 103,641.86 and 41,567.63 is: 57,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.63 : 103,641.86 = 41,567.63 : x
  2. Step 2: Convert to fraction form
    75,101.63/103,641.86 = 41,567.63/x
  3. Step 3: Cross multiply
    75,101.63x = 103,641.86 × 41,567.63
  4. Step 4: Simplify right side
    75,101.63x = 4,308,146,074.70
  5. Step 5: Solve for x
    x = 4,308,146,074.70/75,101.63
  6. Step 6: Final answer
    x = 57,364.22

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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.