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Finding the Fourth Proportional to 30,938.10, 42,713.91 and 21,264.21

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Solution

The fourth proportional to 30,938.10, 42,713.91 and 21,264.21 is: 29,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.10 : 42,713.91 = 21,264.21 : x
  2. Step 2: Convert to fraction form
    30,938.10/42,713.91 = 21,264.21/x
  3. Step 3: Cross multiply
    30,938.10x = 42,713.91 × 21,264.21
  4. Step 4: Simplify right side
    30,938.10x = 908,277,552.16
  5. Step 5: Solve for x
    x = 908,277,552.16/30,938.10
  6. Step 6: Final answer
    x = 29,357.90

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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.