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Finding the Fourth Proportional to 75,707.78, 113,583.84 and 22,401.10

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Solution

The fourth proportional to 75,707.78, 113,583.84 and 22,401.10 is: 33,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,707.78 : 113,583.84 = 22,401.10 : x
  2. Step 2: Convert to fraction form
    75,707.78/113,583.84 = 22,401.10/x
  3. Step 3: Cross multiply
    75,707.78x = 113,583.84 × 22,401.10
  4. Step 4: Simplify right side
    75,707.78x = 2,544,402,958.22
  5. Step 5: Solve for x
    x = 2,544,402,958.22/75,707.78
  6. Step 6: Final answer
    x = 33,608.21

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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.