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Finding the Fourth Proportional to 75,131.50, 103,681.47 and 41,597.50

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Solution

The fourth proportional to 75,131.50, 103,681.47 and 41,597.50 is: 57,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,131.50 : 103,681.47 = 41,597.50 : x
  2. Step 2: Convert to fraction form
    75,131.50/103,681.47 = 41,597.50/x
  3. Step 3: Cross multiply
    75,131.50x = 103,681.47 × 41,597.50
  4. Step 4: Simplify right side
    75,131.50x = 4,312,889,948.33
  5. Step 5: Solve for x
    x = 4,312,889,948.33/75,131.50
  6. Step 6: Final answer
    x = 57,404.55

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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.