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Finding the Fourth Proportional to 77,866.92, 107,480.12 and 48,811.01

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Solution

The fourth proportional to 77,866.92, 107,480.12 and 48,811.01 is: 67,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.92 : 107,480.12 = 48,811.01 : x
  2. Step 2: Convert to fraction form
    77,866.92/107,480.12 = 48,811.01/x
  3. Step 3: Cross multiply
    77,866.92x = 107,480.12 × 48,811.01
  4. Step 4: Simplify right side
    77,866.92x = 5,246,212,430.67
  5. Step 5: Solve for x
    x = 5,246,212,430.67/77,866.92
  6. Step 6: Final answer
    x = 67,374.08

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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.