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Finding the Fourth Proportional to 38,214.40, 52,735.68 and 22,300

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Solution

The fourth proportional to 38,214.40, 52,735.68 and 22,300 is: 30,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214.40 : 52,735.68 = 22,300 : x
  2. Step 2: Convert to fraction form
    38,214.40/52,735.68 = 22,300/x
  3. Step 3: Cross multiply
    38,214.40x = 52,735.68 × 22,300
  4. Step 4: Simplify right side
    38,214.40x = 1,176,005,664
  5. Step 5: Solve for x
    x = 1,176,005,664/38,214.40
  6. Step 6: Final answer
    x = 30,773.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.