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Finding the Fourth Proportional to 83,018.54, 114,595.16 and 49,027.16

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Solution

The fourth proportional to 83,018.54, 114,595.16 and 49,027.16 is: 67,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.54 : 114,595.16 = 49,027.16 : x
  2. Step 2: Convert to fraction form
    83,018.54/114,595.16 = 49,027.16/x
  3. Step 3: Cross multiply
    83,018.54x = 114,595.16 × 49,027.16
  4. Step 4: Simplify right side
    83,018.54x = 5,618,275,653.60
  5. Step 5: Solve for x
    x = 5,618,275,653.60/83,018.54
  6. Step 6: Final answer
    x = 67,674.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.