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Finding the Fourth Proportional to 75,333, 112,996.26 and 22,740.92

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Solution

The fourth proportional to 75,333, 112,996.26 and 22,740.92 is: 34,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333 : 112,996.26 = 22,740.92 : x
  2. Step 2: Convert to fraction form
    75,333/112,996.26 = 22,740.92/x
  3. Step 3: Cross multiply
    75,333x = 112,996.26 × 22,740.92
  4. Step 4: Simplify right side
    75,333x = 2,569,638,908.96
  5. Step 5: Solve for x
    x = 2,569,638,908.96/75,333
  6. Step 6: Final answer
    x = 34,110.40

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1.5x scale

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.