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Finding the Fourth Proportional to 38,420.64, 53,024.70 and 22,291.50

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Solution

The fourth proportional to 38,420.64, 53,024.70 and 22,291.50 is: 30,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.64 : 53,024.70 = 22,291.50 : x
  2. Step 2: Convert to fraction form
    38,420.64/53,024.70 = 22,291.50/x
  3. Step 3: Cross multiply
    38,420.64x = 53,024.70 × 22,291.50
  4. Step 4: Simplify right side
    38,420.64x = 1,182,000,100.05
  5. Step 5: Solve for x
    x = 1,182,000,100.05/38,420.64
  6. Step 6: Final answer
    x = 30,764.72

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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.