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Finding the Fourth Proportional to 77,440, 106,868.16 and 42,112

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Solution

The fourth proportional to 77,440, 106,868.16 and 42,112 is: 58,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,440 : 106,868.16 = 42,112 : x
  2. Step 2: Convert to fraction form
    77,440/106,868.16 = 42,112/x
  3. Step 3: Cross multiply
    77,440x = 106,868.16 × 42,112
  4. Step 4: Simplify right side
    77,440x = 4,500,431,953.92
  5. Step 5: Solve for x
    x = 4,500,431,953.92/77,440
  6. Step 6: Final answer
    x = 58,115.08

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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.