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Finding the Fourth Proportional to 61,850.78, 92,619.16 and 51,829.19

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Solution

The fourth proportional to 61,850.78, 92,619.16 and 51,829.19 is: 77,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,850.78 : 92,619.16 = 51,829.19 : x
  2. Step 2: Convert to fraction form
    61,850.78/92,619.16 = 51,829.19/x
  3. Step 3: Cross multiply
    61,850.78x = 92,619.16 × 51,829.19
  4. Step 4: Simplify right side
    61,850.78x = 4,800,376,041.28
  5. Step 5: Solve for x
    x = 4,800,376,041.28/61,850.78
  6. Step 6: Final answer
    x = 77,612.22

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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.