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Finding the Fourth Proportional to 38,856.42, 58,290.39 and 14,230.50

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Solution

The fourth proportional to 38,856.42, 58,290.39 and 14,230.50 is: 21,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856.42 : 58,290.39 = 14,230.50 : x
  2. Step 2: Convert to fraction form
    38,856.42/58,290.39 = 14,230.50/x
  3. Step 3: Cross multiply
    38,856.42x = 58,290.39 × 14,230.50
  4. Step 4: Simplify right side
    38,856.42x = 829,501,394.90
  5. Step 5: Solve for x
    x = 829,501,394.90/38,856.42
  6. Step 6: Final answer
    x = 21,347.86

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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.