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Finding the Fourth Proportional to 77,278.40, 115,917.60 and 59,782.40

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Solution

The fourth proportional to 77,278.40, 115,917.60 and 59,782.40 is: 89,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,278.40 : 115,917.60 = 59,782.40 : x
  2. Step 2: Convert to fraction form
    77,278.40/115,917.60 = 59,782.40/x
  3. Step 3: Cross multiply
    77,278.40x = 115,917.60 × 59,782.40
  4. Step 4: Simplify right side
    77,278.40x = 6,929,832,330.24
  5. Step 5: Solve for x
    x = 6,929,832,330.24/77,278.40
  6. Step 6: Final answer
    x = 89,673.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.