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Finding the Fourth Proportional to 113,882.40, 170,823.60 and 30,776.40

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Solution

The fourth proportional to 113,882.40, 170,823.60 and 30,776.40 is: 46,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,882.40 : 170,823.60 = 30,776.40 : x
  2. Step 2: Convert to fraction form
    113,882.40/170,823.60 = 30,776.40/x
  3. Step 3: Cross multiply
    113,882.40x = 170,823.60 × 30,776.40
  4. Step 4: Simplify right side
    113,882.40x = 5,257,335,443.04
  5. Step 5: Solve for x
    x = 5,257,335,443.04/113,882.40
  6. Step 6: Final answer
    x = 46,164.60

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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.