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Finding the Fourth Proportional to 77,088.18, 106,412.25 and 48,400.14

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Solution

The fourth proportional to 77,088.18, 106,412.25 and 48,400.14 is: 66,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,088.18 : 106,412.25 = 48,400.14 : x
  2. Step 2: Convert to fraction form
    77,088.18/106,412.25 = 48,400.14/x
  3. Step 3: Cross multiply
    77,088.18x = 106,412.25 × 48,400.14
  4. Step 4: Simplify right side
    77,088.18x = 5,150,367,797.72
  5. Step 5: Solve for x
    x = 5,150,367,797.72/77,088.18
  6. Step 6: Final answer
    x = 66,811.38

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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.