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Finding the Fourth Proportional to 52,198.34, 78,283.50 and 14,749.61

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Solution

The fourth proportional to 52,198.34, 78,283.50 and 14,749.61 is: 22,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,198.34 : 78,283.50 = 14,749.61 : x
  2. Step 2: Convert to fraction form
    52,198.34/78,283.50 = 14,749.61/x
  3. Step 3: Cross multiply
    52,198.34x = 78,283.50 × 14,749.61
  4. Step 4: Simplify right side
    52,198.34x = 1,154,650,703.02
  5. Step 5: Solve for x
    x = 1,154,650,703.02/52,198.34
  6. Step 6: Final answer
    x = 22,120.45

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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.