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Finding the Fourth Proportional to 77,962, 107,587.56 and 42,634

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Solution

The fourth proportional to 77,962, 107,587.56 and 42,634 is: 58,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962 : 107,587.56 = 42,634 : x
  2. Step 2: Convert to fraction form
    77,962/107,587.56 = 42,634/x
  3. Step 3: Cross multiply
    77,962x = 107,587.56 × 42,634
  4. Step 4: Simplify right side
    77,962x = 4,586,888,033.04
  5. Step 5: Solve for x
    x = 4,586,888,033.04/77,962
  6. Step 6: Final answer
    x = 58,834.92

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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.