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Finding the Fourth Proportional to 38,013.45, 52,465.68 and 22,100.19

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Solution

The fourth proportional to 38,013.45, 52,465.68 and 22,100.19 is: 30,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.45 : 52,465.68 = 22,100.19 : x
  2. Step 2: Convert to fraction form
    38,013.45/52,465.68 = 22,100.19/x
  3. Step 3: Cross multiply
    38,013.45x = 52,465.68 × 22,100.19
  4. Step 4: Simplify right side
    38,013.45x = 1,159,501,496.48
  5. Step 5: Solve for x
    x = 1,159,501,496.48/38,013.45
  6. Step 6: Final answer
    x = 30,502.40

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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.