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Finding the Fourth Proportional to 77,921.34, 107,531.46 and 42,111.29

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Solution

The fourth proportional to 77,921.34, 107,531.46 and 42,111.29 is: 58,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,921.34 : 107,531.46 = 42,111.29 : x
  2. Step 2: Convert to fraction form
    77,921.34/107,531.46 = 42,111.29/x
  3. Step 3: Cross multiply
    77,921.34x = 107,531.46 × 42,111.29
  4. Step 4: Simplify right side
    77,921.34x = 4,528,287,958.53
  5. Step 5: Solve for x
    x = 4,528,287,958.53/77,921.34
  6. Step 6: Final answer
    x = 58,113.58

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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.