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Finding the Fourth Proportional to 75,055.74, 103,577.75 and 41,063.50

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Solution

The fourth proportional to 75,055.74, 103,577.75 and 41,063.50 is: 56,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,055.74 : 103,577.75 = 41,063.50 : x
  2. Step 2: Convert to fraction form
    75,055.74/103,577.75 = 41,063.50/x
  3. Step 3: Cross multiply
    75,055.74x = 103,577.75 × 41,063.50
  4. Step 4: Simplify right side
    75,055.74x = 4,253,264,937.13
  5. Step 5: Solve for x
    x = 4,253,264,937.13/75,055.74
  6. Step 6: Final answer
    x = 56,668.08

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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.