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Finding the Fourth Proportional to 75,874.70, 113,812.05 and 19,710.20

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Solution

The fourth proportional to 75,874.70, 113,812.05 and 19,710.20 is: 29,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.70 : 113,812.05 = 19,710.20 : x
  2. Step 2: Convert to fraction form
    75,874.70/113,812.05 = 19,710.20/x
  3. Step 3: Cross multiply
    75,874.70x = 113,812.05 × 19,710.20
  4. Step 4: Simplify right side
    75,874.70x = 2,243,258,267.91
  5. Step 5: Solve for x
    x = 2,243,258,267.91/75,874.70
  6. Step 6: Final answer
    x = 29,565.30

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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.