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Finding the Fourth Proportional to 82,670.91, 114,085.97 and 44,945.16

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Solution

The fourth proportional to 82,670.91, 114,085.97 and 44,945.16 is: 62,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,670.91 : 114,085.97 = 44,945.16 : x
  2. Step 2: Convert to fraction form
    82,670.91/114,085.97 = 44,945.16/x
  3. Step 3: Cross multiply
    82,670.91x = 114,085.97 × 44,945.16
  4. Step 4: Simplify right side
    82,670.91x = 5,127,612,175.41
  5. Step 5: Solve for x
    x = 5,127,612,175.41/82,670.91
  6. Step 6: Final answer
    x = 62,024.38

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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.