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Finding the Fourth Proportional to 30,751.38, 42,435.90 and 19,426.91

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Solution

The fourth proportional to 30,751.38, 42,435.90 and 19,426.91 is: 26,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.38 : 42,435.90 = 19,426.91 : x
  2. Step 2: Convert to fraction form
    30,751.38/42,435.90 = 19,426.91/x
  3. Step 3: Cross multiply
    30,751.38x = 42,435.90 × 19,426.91
  4. Step 4: Simplify right side
    30,751.38x = 824,398,197.89
  5. Step 5: Solve for x
    x = 824,398,197.89/30,751.38
  6. Step 6: Final answer
    x = 26,808.49

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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.