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Finding the Fourth Proportional to 84,830.04, 127,244.52 and 22,500

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Solution

The fourth proportional to 84,830.04, 127,244.52 and 22,500 is: 33,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,830.04 : 127,244.52 = 22,500 : x
  2. Step 2: Convert to fraction form
    84,830.04/127,244.52 = 22,500/x
  3. Step 3: Cross multiply
    84,830.04x = 127,244.52 × 22,500
  4. Step 4: Simplify right side
    84,830.04x = 2,863,001,700
  5. Step 5: Solve for x
    x = 2,863,001,700/84,830.04
  6. Step 6: Final answer
    x = 33,749.86

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