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Finding the Fourth Proportional to 38,965.32, 53,772.48 and 22,199.40

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Solution

The fourth proportional to 38,965.32, 53,772.48 and 22,199.40 is: 30,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.32 : 53,772.48 = 22,199.40 : x
  2. Step 2: Convert to fraction form
    38,965.32/53,772.48 = 22,199.40/x
  3. Step 3: Cross multiply
    38,965.32x = 53,772.48 × 22,199.40
  4. Step 4: Simplify right side
    38,965.32x = 1,193,716,792.51
  5. Step 5: Solve for x
    x = 1,193,716,792.51/38,965.32
  6. Step 6: Final answer
    x = 30,635.36

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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.