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Finding the Fourth Proportional to 78,172, 107,881.20 and 42,844

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Solution

The fourth proportional to 78,172, 107,881.20 and 42,844 is: 59,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172 : 107,881.20 = 42,844 : x
  2. Step 2: Convert to fraction form
    78,172/107,881.20 = 42,844/x
  3. Step 3: Cross multiply
    78,172x = 107,881.20 × 42,844
  4. Step 4: Simplify right side
    78,172x = 4,622,062,132.80
  5. Step 5: Solve for x
    x = 4,622,062,132.80/78,172
  6. Step 6: Final answer
    x = 59,126.82

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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.