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Finding the Fourth Proportional to 77,924, 107,535.12 and 44,390

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Solution

The fourth proportional to 77,924, 107,535.12 and 44,390 is: 61,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924 : 107,535.12 = 44,390 : x
  2. Step 2: Convert to fraction form
    77,924/107,535.12 = 44,390/x
  3. Step 3: Cross multiply
    77,924x = 107,535.12 × 44,390
  4. Step 4: Simplify right side
    77,924x = 4,773,483,976.80
  5. Step 5: Solve for x
    x = 4,773,483,976.80/77,924
  6. Step 6: Final answer
    x = 61,258.20

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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.