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Finding the Fourth Proportional to 77,376.06, 116,064.09 and 61,892.10

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Solution

The fourth proportional to 77,376.06, 116,064.09 and 61,892.10 is: 92,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,376.06 : 116,064.09 = 61,892.10 : x
  2. Step 2: Convert to fraction form
    77,376.06/116,064.09 = 61,892.10/x
  3. Step 3: Cross multiply
    77,376.06x = 116,064.09 × 61,892.10
  4. Step 4: Simplify right side
    77,376.06x = 7,183,450,264.69
  5. Step 5: Solve for x
    x = 7,183,450,264.69/77,376.06
  6. Step 6: Final answer
    x = 92,838.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.