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Finding the Fourth Proportional to 102,048.22, 153,069.50 and 27,169.01

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Solution

The fourth proportional to 102,048.22, 153,069.50 and 27,169.01 is: 40,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,048.22 : 153,069.50 = 27,169.01 : x
  2. Step 2: Convert to fraction form
    102,048.22/153,069.50 = 27,169.01/x
  3. Step 3: Cross multiply
    102,048.22x = 153,069.50 × 27,169.01
  4. Step 4: Simplify right side
    102,048.22x = 4,158,746,652.78
  5. Step 5: Solve for x
    x = 4,158,746,652.78/102,048.22
  6. Step 6: Final answer
    x = 40,752.76

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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.