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Finding the Fourth Proportional to 31,019.95, 42,784.60 and 19,679.66

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Solution

The fourth proportional to 31,019.95, 42,784.60 and 19,679.66 is: 27,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.95 : 42,784.60 = 19,679.66 : x
  2. Step 2: Convert to fraction form
    31,019.95/42,784.60 = 19,679.66/x
  3. Step 3: Cross multiply
    31,019.95x = 42,784.60 × 19,679.66
  4. Step 4: Simplify right side
    31,019.95x = 841,986,381.24
  5. Step 5: Solve for x
    x = 841,986,381.24/31,019.95
  6. Step 6: Final answer
    x = 27,143.38

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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.