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Finding the Fourth Proportional to 82,240.66, 113,492.28 and 44,514.91

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Solution

The fourth proportional to 82,240.66, 113,492.28 and 44,514.91 is: 61,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,240.66 : 113,492.28 = 44,514.91 : x
  2. Step 2: Convert to fraction form
    82,240.66/113,492.28 = 44,514.91/x
  3. Step 3: Cross multiply
    82,240.66x = 113,492.28 × 44,514.91
  4. Step 4: Simplify right side
    82,240.66x = 5,052,098,629.89
  5. Step 5: Solve for x
    x = 5,052,098,629.89/82,240.66
  6. Step 6: Final answer
    x = 61,430.67

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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.