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Finding the Fourth Proportional to 30,769.38, 42,460.74 and 19,444.95

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Solution

The fourth proportional to 30,769.38, 42,460.74 and 19,444.95 is: 26,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.38 : 42,460.74 = 19,444.95 : x
  2. Step 2: Convert to fraction form
    30,769.38/42,460.74 = 19,444.95/x
  3. Step 3: Cross multiply
    30,769.38x = 42,460.74 × 19,444.95
  4. Step 4: Simplify right side
    30,769.38x = 825,646,966.26
  5. Step 5: Solve for x
    x = 825,646,966.26/30,769.38
  6. Step 6: Final answer
    x = 26,833.40

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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.