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Finding the Fourth Proportional to 82,967.51, 124,451.46 and 30,348.29

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Solution

The fourth proportional to 82,967.51, 124,451.46 and 30,348.29 is: 45,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,967.51 : 124,451.46 = 30,348.29 : x
  2. Step 2: Convert to fraction form
    82,967.51/124,451.46 = 30,348.29/x
  3. Step 3: Cross multiply
    82,967.51x = 124,451.46 × 30,348.29
  4. Step 4: Simplify right side
    82,967.51x = 3,776,888,376.75
  5. Step 5: Solve for x
    x = 3,776,888,376.75/82,967.51
  6. Step 6: Final answer
    x = 45,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.