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Finding the Fourth Proportional to 57,240.32, 78,992.16 and 32,089.92

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Solution

The fourth proportional to 57,240.32, 78,992.16 and 32,089.92 is: 44,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240.32 : 78,992.16 = 32,089.92 : x
  2. Step 2: Convert to fraction form
    57,240.32/78,992.16 = 32,089.92/x
  3. Step 3: Cross multiply
    57,240.32x = 78,992.16 × 32,089.92
  4. Step 4: Simplify right side
    57,240.32x = 2,534,852,095.03
  5. Step 5: Solve for x
    x = 2,534,852,095.03/57,240.32
  6. Step 6: Final answer
    x = 44,284.38

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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.