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Finding the Fourth Proportional to 75,877.84, 113,724.60 and 53,697.72

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Solution

The fourth proportional to 75,877.84, 113,724.60 and 53,697.72 is: 80,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.84 : 113,724.60 = 53,697.72 : x
  2. Step 2: Convert to fraction form
    75,877.84/113,724.60 = 53,697.72/x
  3. Step 3: Cross multiply
    75,877.84x = 113,724.60 × 53,697.72
  4. Step 4: Simplify right side
    75,877.84x = 6,106,751,727.91
  5. Step 5: Solve for x
    x = 6,106,751,727.91/75,877.84
  6. Step 6: Final answer
    x = 80,481.36

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1.5x scale

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.