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Finding the Fourth Proportional to 77,788.47, 107,350.26 and 47,573.25

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Solution

The fourth proportional to 77,788.47, 107,350.26 and 47,573.25 is: 65,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788.47 : 107,350.26 = 47,573.25 : x
  2. Step 2: Convert to fraction form
    77,788.47/107,350.26 = 47,573.25/x
  3. Step 3: Cross multiply
    77,788.47x = 107,350.26 × 47,573.25
  4. Step 4: Simplify right side
    77,788.47x = 5,107,000,756.55
  5. Step 5: Solve for x
    x = 5,107,000,756.55/77,788.47
  6. Step 6: Final answer
    x = 65,652.41

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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.