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Finding the Fourth Proportional to 82,233.81, 113,483.13 and 44,508.06

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Solution

The fourth proportional to 82,233.81, 113,483.13 and 44,508.06 is: 61,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,233.81 : 113,483.13 = 44,508.06 : x
  2. Step 2: Convert to fraction form
    82,233.81/113,483.13 = 44,508.06/x
  3. Step 3: Cross multiply
    82,233.81x = 113,483.13 × 44,508.06
  4. Step 4: Simplify right side
    82,233.81x = 5,050,913,959.03
  5. Step 5: Solve for x
    x = 5,050,913,959.03/82,233.81
  6. Step 6: Final answer
    x = 61,421.38

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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.