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Finding the Fourth Proportional to 77,676.90, 115,585.01 and 77,414.46

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Solution

The fourth proportional to 77,676.90, 115,585.01 and 77,414.46 is: 115,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676.90 : 115,585.01 = 77,414.46 : x
  2. Step 2: Convert to fraction form
    77,676.90/115,585.01 = 77,414.46/x
  3. Step 3: Cross multiply
    77,676.90x = 115,585.01 × 77,414.46
  4. Step 4: Simplify right side
    77,676.90x = 8,947,950,746.17
  5. Step 5: Solve for x
    x = 8,947,950,746.17/77,676.90
  6. Step 6: Final answer
    x = 115,194.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.