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Finding the Fourth Proportional to 75,657.49, 104,478.20 and 47,412.39

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Solution

The fourth proportional to 75,657.49, 104,478.20 and 47,412.39 is: 65,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657.49 : 104,478.20 = 47,412.39 : x
  2. Step 2: Convert to fraction form
    75,657.49/104,478.20 = 47,412.39/x
  3. Step 3: Cross multiply
    75,657.49x = 104,478.20 × 47,412.39
  4. Step 4: Simplify right side
    75,657.49x = 4,953,561,164.90
  5. Step 5: Solve for x
    x = 4,953,561,164.90/75,657.49
  6. Step 6: Final answer
    x = 65,473.51

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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.