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Finding the Fourth Proportional to 75,666.40, 113,499.60 and 20,262.40

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Solution

The fourth proportional to 75,666.40, 113,499.60 and 20,262.40 is: 30,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,666.40 : 113,499.60 = 20,262.40 : x
  2. Step 2: Convert to fraction form
    75,666.40/113,499.60 = 20,262.40/x
  3. Step 3: Cross multiply
    75,666.40x = 113,499.60 × 20,262.40
  4. Step 4: Simplify right side
    75,666.40x = 2,299,774,295.04
  5. Step 5: Solve for x
    x = 2,299,774,295.04/75,666.40
  6. Step 6: Final answer
    x = 30,393.60

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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.