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Finding the Fourth Proportional to 74,046, 111,080.56 and 24,114.32

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Solution

The fourth proportional to 74,046, 111,080.56 and 24,114.32 is: 36,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046 : 111,080.56 = 24,114.32 : x
  2. Step 2: Convert to fraction form
    74,046/111,080.56 = 24,114.32/x
  3. Step 3: Cross multiply
    74,046x = 111,080.56 × 24,114.32
  4. Step 4: Simplify right side
    74,046x = 2,678,632,169.62
  5. Step 5: Solve for x
    x = 2,678,632,169.62/74,046
  6. Step 6: Final answer
    x = 36,175.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.