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Finding the Fourth Proportional to 77,669, 107,178.82 and 45,830.60

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Solution

The fourth proportional to 77,669, 107,178.82 and 45,830.60 is: 63,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,669 : 107,178.82 = 45,830.60 : x
  2. Step 2: Convert to fraction form
    77,669/107,178.82 = 45,830.60/x
  3. Step 3: Cross multiply
    77,669x = 107,178.82 × 45,830.60
  4. Step 4: Simplify right side
    77,669x = 4,912,069,627.89
  5. Step 5: Solve for x
    x = 4,912,069,627.89/77,669
  6. Step 6: Final answer
    x = 63,243.63

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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.