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Finding the Fourth Proportional to 84,033, 115,964.10 and 45,792.90

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Solution

The fourth proportional to 84,033, 115,964.10 and 45,792.90 is: 63,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,033 : 115,964.10 = 45,792.90 : x
  2. Step 2: Convert to fraction form
    84,033/115,964.10 = 45,792.90/x
  3. Step 3: Cross multiply
    84,033x = 115,964.10 × 45,792.90
  4. Step 4: Simplify right side
    84,033x = 5,310,332,434.89
  5. Step 5: Solve for x
    x = 5,310,332,434.89/84,033
  6. Step 6: Final answer
    x = 63,193.42

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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.