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Finding the Fourth Proportional to 82,044, 113,220.78 and 44,318.25

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Solution

The fourth proportional to 82,044, 113,220.78 and 44,318.25 is: 61,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,044 : 113,220.78 = 44,318.25 : x
  2. Step 2: Convert to fraction form
    82,044/113,220.78 = 44,318.25/x
  3. Step 3: Cross multiply
    82,044x = 113,220.78 × 44,318.25
  4. Step 4: Simplify right side
    82,044x = 5,017,746,833.24
  5. Step 5: Solve for x
    x = 5,017,746,833.24/82,044
  6. Step 6: Final answer
    x = 61,159.22

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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.