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Finding the Fourth Proportional to 83,228.52, 114,855.84 and 45,502.77

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Solution

The fourth proportional to 83,228.52, 114,855.84 and 45,502.77 is: 62,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,228.52 : 114,855.84 = 45,502.77 : x
  2. Step 2: Convert to fraction form
    83,228.52/114,855.84 = 45,502.77/x
  3. Step 3: Cross multiply
    83,228.52x = 114,855.84 × 45,502.77
  4. Step 4: Simplify right side
    83,228.52x = 5,226,258,870.68
  5. Step 5: Solve for x
    x = 5,226,258,870.68/83,228.52
  6. Step 6: Final answer
    x = 62,794.09

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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.