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Finding the Fourth Proportional to 75,295.98, 103,909.42 and 41,302.26

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Solution

The fourth proportional to 75,295.98, 103,909.42 and 41,302.26 is: 56,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.98 : 103,909.42 = 41,302.26 : x
  2. Step 2: Convert to fraction form
    75,295.98/103,909.42 = 41,302.26/x
  3. Step 3: Cross multiply
    75,295.98x = 103,909.42 × 41,302.26
  4. Step 4: Simplify right side
    75,295.98x = 4,291,693,881.29
  5. Step 5: Solve for x
    x = 4,291,693,881.29/75,295.98
  6. Step 6: Final answer
    x = 56,997.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.