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Finding the Fourth Proportional to 38,865, 53,633.70 and 22,098

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Solution

The fourth proportional to 38,865, 53,633.70 and 22,098 is: 30,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,865 : 53,633.70 = 22,098 : x
  2. Step 2: Convert to fraction form
    38,865/53,633.70 = 22,098/x
  3. Step 3: Cross multiply
    38,865x = 53,633.70 × 22,098
  4. Step 4: Simplify right side
    38,865x = 1,185,197,502.60
  5. Step 5: Solve for x
    x = 1,185,197,502.60/38,865
  6. Step 6: Final answer
    x = 30,495.24

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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.