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Finding the Fourth Proportional to 82,038.13, 113,212.62 and 44,312.38

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Solution

The fourth proportional to 82,038.13, 113,212.62 and 44,312.38 is: 61,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038.13 : 113,212.62 = 44,312.38 : x
  2. Step 2: Convert to fraction form
    82,038.13/113,212.62 = 44,312.38/x
  3. Step 3: Cross multiply
    82,038.13x = 113,212.62 × 44,312.38
  4. Step 4: Simplify right side
    82,038.13x = 5,016,720,420.94
  5. Step 5: Solve for x
    x = 5,016,720,420.94/82,038.13
  6. Step 6: Final answer
    x = 61,151.08

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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.