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Finding the Fourth Proportional to 38,598.90, 57,901.05 and 16,409.76

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Solution

The fourth proportional to 38,598.90, 57,901.05 and 16,409.76 is: 24,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,598.90 : 57,901.05 = 16,409.76 : x
  2. Step 2: Convert to fraction form
    38,598.90/57,901.05 = 16,409.76/x
  3. Step 3: Cross multiply
    38,598.90x = 57,901.05 × 16,409.76
  4. Step 4: Simplify right side
    38,598.90x = 950,142,334.25
  5. Step 5: Solve for x
    x = 950,142,334.25/38,598.90
  6. Step 6: Final answer
    x = 24,615.79

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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.