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Finding the Fourth Proportional to 77,850, 107,435.56 and 42,522

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Solution

The fourth proportional to 77,850, 107,435.56 and 42,522 is: 58,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,850 : 107,435.56 = 42,522 : x
  2. Step 2: Convert to fraction form
    77,850/107,435.56 = 42,522/x
  3. Step 3: Cross multiply
    77,850x = 107,435.56 × 42,522
  4. Step 4: Simplify right side
    77,850x = 4,568,374,882.32
  5. Step 5: Solve for x
    x = 4,568,374,882.32/77,850
  6. Step 6: Final answer
    x = 58,681.76

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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.