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Finding the Fourth Proportional to 75,376.96, 113,083.80 and 22,783.12

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Solution

The fourth proportional to 75,376.96, 113,083.80 and 22,783.12 is: 34,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,376.96 : 113,083.80 = 22,783.12 : x
  2. Step 2: Convert to fraction form
    75,376.96/113,083.80 = 22,783.12/x
  3. Step 3: Cross multiply
    75,376.96x = 113,083.80 × 22,783.12
  4. Step 4: Simplify right side
    75,376.96x = 2,576,401,785.46
  5. Step 5: Solve for x
    x = 2,576,401,785.46/75,376.96
  6. Step 6: Final answer
    x = 34,180.23

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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.