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Finding the Fourth Proportional to 30,769.65, 42,442.38 and 19,419.12

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Solution

The fourth proportional to 30,769.65, 42,442.38 and 19,419.12 is: 26,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.65 : 42,442.38 = 19,419.12 : x
  2. Step 2: Convert to fraction form
    30,769.65/42,442.38 = 19,419.12/x
  3. Step 3: Cross multiply
    30,769.65x = 42,442.38 × 19,419.12
  4. Step 4: Simplify right side
    30,769.65x = 824,193,670.31
  5. Step 5: Solve for x
    x = 824,193,670.31/30,769.65
  6. Step 6: Final answer
    x = 26,785.93

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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.