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Finding the Fourth Proportional to 75,384, 113,076 and 22,792.32

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Solution

The fourth proportional to 75,384, 113,076 and 22,792.32 is: 34,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,384 : 113,076 = 22,792.32 : x
  2. Step 2: Convert to fraction form
    75,384/113,076 = 22,792.32/x
  3. Step 3: Cross multiply
    75,384x = 113,076 × 22,792.32
  4. Step 4: Simplify right side
    75,384x = 2,577,264,376.32
  5. Step 5: Solve for x
    x = 2,577,264,376.32/75,384
  6. Step 6: Final answer
    x = 34,188.48

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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.