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Finding the Fourth Proportional to 82,954.16, 114,478.92 and 51,144.08

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Solution

The fourth proportional to 82,954.16, 114,478.92 and 51,144.08 is: 70,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.16 : 114,478.92 = 51,144.08 : x
  2. Step 2: Convert to fraction form
    82,954.16/114,478.92 = 51,144.08/x
  3. Step 3: Cross multiply
    82,954.16x = 114,478.92 × 51,144.08
  4. Step 4: Simplify right side
    82,954.16x = 5,854,919,042.79
  5. Step 5: Solve for x
    x = 5,854,919,042.79/82,954.16
  6. Step 6: Final answer
    x = 70,580.17

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1.5x scale

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.