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Finding the Fourth Proportional to 77,883, 107,478.54 and 44,355.48

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Solution

The fourth proportional to 77,883, 107,478.54 and 44,355.48 is: 61,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,883 : 107,478.54 = 44,355.48 : x
  2. Step 2: Convert to fraction form
    77,883/107,478.54 = 44,355.48/x
  3. Step 3: Cross multiply
    77,883x = 107,478.54 × 44,355.48
  4. Step 4: Simplify right side
    77,883x = 4,767,262,231.40
  5. Step 5: Solve for x
    x = 4,767,262,231.40/77,883
  6. Step 6: Final answer
    x = 61,210.56

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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.