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Finding the Fourth Proportional to 84,306, 126,466.29 and 21,976.50

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Solution

The fourth proportional to 84,306, 126,466.29 and 21,976.50 is: 32,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306 : 126,466.29 = 21,976.50 : x
  2. Step 2: Convert to fraction form
    84,306/126,466.29 = 21,976.50/x
  3. Step 3: Cross multiply
    84,306x = 126,466.29 × 21,976.50
  4. Step 4: Simplify right side
    84,306x = 2,779,286,422.19
  5. Step 5: Solve for x
    x = 2,779,286,422.19/84,306
  6. Step 6: Final answer
    x = 32,966.65

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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.