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Finding the Fourth Proportional to 29,712, 41,019.66 and 22,199.64

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Solution

The fourth proportional to 29,712, 41,019.66 and 22,199.64 is: 30,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 41,019.66 = 22,199.64 : x
  2. Step 2: Convert to fraction form
    29,712/41,019.66 = 22,199.64/x
  3. Step 3: Cross multiply
    29,712x = 41,019.66 × 22,199.64
  4. Step 4: Simplify right side
    29,712x = 910,621,684.92
  5. Step 5: Solve for x
    x = 910,621,684.92/29,712
  6. Step 6: Final answer
    x = 30,648.28

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1.5x scale

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.