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Finding the Fourth Proportional to 82,038.25, 113,212.83 and 44,312.50

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Solution

The fourth proportional to 82,038.25, 113,212.83 and 44,312.50 is: 61,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038.25 : 113,212.83 = 44,312.50 : x
  2. Step 2: Convert to fraction form
    82,038.25/113,212.83 = 44,312.50/x
  3. Step 3: Cross multiply
    82,038.25x = 113,212.83 × 44,312.50
  4. Step 4: Simplify right side
    82,038.25x = 5,016,743,529.38
  5. Step 5: Solve for x
    x = 5,016,743,529.38/82,038.25
  6. Step 6: Final answer
    x = 61,151.27

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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.