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Finding the Fourth Proportional to 75,508.84, 113,264.82 and 27,475.80

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Solution

The fourth proportional to 75,508.84, 113,264.82 and 27,475.80 is: 41,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,508.84 : 113,264.82 = 27,475.80 : x
  2. Step 2: Convert to fraction form
    75,508.84/113,264.82 = 27,475.80/x
  3. Step 3: Cross multiply
    75,508.84x = 113,264.82 × 27,475.80
  4. Step 4: Simplify right side
    75,508.84x = 3,112,041,541.36
  5. Step 5: Solve for x
    x = 3,112,041,541.36/75,508.84
  6. Step 6: Final answer
    x = 41,214.27

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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.