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Finding the Fourth Proportional to 92,509.12, 138,764.04 and 22,388.32

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Solution

The fourth proportional to 92,509.12, 138,764.04 and 22,388.32 is: 33,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,509.12 : 138,764.04 = 22,388.32 : x
  2. Step 2: Convert to fraction form
    92,509.12/138,764.04 = 22,388.32/x
  3. Step 3: Cross multiply
    92,509.12x = 138,764.04 × 22,388.32
  4. Step 4: Simplify right side
    92,509.12x = 3,106,693,732.01
  5. Step 5: Solve for x
    x = 3,106,693,732.01/92,509.12
  6. Step 6: Final answer
    x = 33,582.57

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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.