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Finding the Fourth Proportional to 74,080.48, 102,230.34 and 40,088.24

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Solution

The fourth proportional to 74,080.48, 102,230.34 and 40,088.24 is: 55,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080.48 : 102,230.34 = 40,088.24 : x
  2. Step 2: Convert to fraction form
    74,080.48/102,230.34 = 40,088.24/x
  3. Step 3: Cross multiply
    74,080.48x = 102,230.34 × 40,088.24
  4. Step 4: Simplify right side
    74,080.48x = 4,098,234,405.20
  5. Step 5: Solve for x
    x = 4,098,234,405.20/74,080.48
  6. Step 6: Final answer
    x = 55,321.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.