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Finding the Fourth Proportional to 35,257.38, 48,655.15 and 19,342.16

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Solution

The fourth proportional to 35,257.38, 48,655.15 and 19,342.16 is: 26,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,257.38 : 48,655.15 = 19,342.16 : x
  2. Step 2: Convert to fraction form
    35,257.38/48,655.15 = 19,342.16/x
  3. Step 3: Cross multiply
    35,257.38x = 48,655.15 × 19,342.16
  4. Step 4: Simplify right side
    35,257.38x = 941,095,586.95
  5. Step 5: Solve for x
    x = 941,095,586.95/35,257.38
  6. Step 6: Final answer
    x = 26,692.16

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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.