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Finding the Fourth Proportional to 82,524, 113,883.32 and 44,798.24

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Solution

The fourth proportional to 82,524, 113,883.32 and 44,798.24 is: 61,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,524 : 113,883.32 = 44,798.24 : x
  2. Step 2: Convert to fraction form
    82,524/113,883.32 = 44,798.24/x
  3. Step 3: Cross multiply
    82,524x = 113,883.32 × 44,798.24
  4. Step 4: Simplify right side
    82,524x = 5,101,772,301.36
  5. Step 5: Solve for x
    x = 5,101,772,301.36/82,524
  6. Step 6: Final answer
    x = 61,821.68

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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.