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Finding the Fourth Proportional to 77,698.29, 107,184.83 and 49,053.45

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Solution

The fourth proportional to 77,698.29, 107,184.83 and 49,053.45 is: 67,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698.29 : 107,184.83 = 49,053.45 : x
  2. Step 2: Convert to fraction form
    77,698.29/107,184.83 = 49,053.45/x
  3. Step 3: Cross multiply
    77,698.29x = 107,184.83 × 49,053.45
  4. Step 4: Simplify right side
    77,698.29x = 5,257,785,453.90
  5. Step 5: Solve for x
    x = 5,257,785,453.90/77,698.29
  6. Step 6: Final answer
    x = 67,669.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.