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Finding the Fourth Proportional to 75,392, 113,088 and 22,800.32

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Solution

The fourth proportional to 75,392, 113,088 and 22,800.32 is: 34,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,392 : 113,088 = 22,800.32 : x
  2. Step 2: Convert to fraction form
    75,392/113,088 = 22,800.32/x
  3. Step 3: Cross multiply
    75,392x = 113,088 × 22,800.32
  4. Step 4: Simplify right side
    75,392x = 2,578,442,588.16
  5. Step 5: Solve for x
    x = 2,578,442,588.16/75,392
  6. Step 6: Final answer
    x = 34,200.48

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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.