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Finding the Fourth Proportional to 75,535.44, 113,333.88 and 48,548

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Solution

The fourth proportional to 75,535.44, 113,333.88 and 48,548 is: 72,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,535.44 : 113,333.88 = 48,548 : x
  2. Step 2: Convert to fraction form
    75,535.44/113,333.88 = 48,548/x
  3. Step 3: Cross multiply
    75,535.44x = 113,333.88 × 48,548
  4. Step 4: Simplify right side
    75,535.44x = 5,502,133,206.24
  5. Step 5: Solve for x
    x = 5,502,133,206.24/75,535.44
  6. Step 6: Final answer
    x = 72,841.74

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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.