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Finding the Fourth Proportional to 30,565, 42,166.33 and 21,620.17

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Solution

The fourth proportional to 30,565, 42,166.33 and 21,620.17 is: 29,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565 : 42,166.33 = 21,620.17 : x
  2. Step 2: Convert to fraction form
    30,565/42,166.33 = 21,620.17/x
  3. Step 3: Cross multiply
    30,565x = 42,166.33 × 21,620.17
  4. Step 4: Simplify right side
    30,565x = 911,643,222.88
  5. Step 5: Solve for x
    x = 911,643,222.88/30,565
  6. Step 6: Final answer
    x = 29,826.38

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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.