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Finding the Fourth Proportional to 82,137.68, 113,349.84 and 44,411.84

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Solution

The fourth proportional to 82,137.68, 113,349.84 and 44,411.84 is: 61,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137.68 : 113,349.84 = 44,411.84 : x
  2. Step 2: Convert to fraction form
    82,137.68/113,349.84 = 44,411.84/x
  3. Step 3: Cross multiply
    82,137.68x = 113,349.84 × 44,411.84
  4. Step 4: Simplify right side
    82,137.68x = 5,034,074,958.11
  5. Step 5: Solve for x
    x = 5,034,074,958.11/82,137.68
  6. Step 6: Final answer
    x = 61,288.25

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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.