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Finding the Fourth Proportional to 34,160.56, 47,141.63 and 19,054.20

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Solution

The fourth proportional to 34,160.56, 47,141.63 and 19,054.20 is: 26,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,160.56 : 47,141.63 = 19,054.20 : x
  2. Step 2: Convert to fraction form
    34,160.56/47,141.63 = 19,054.20/x
  3. Step 3: Cross multiply
    34,160.56x = 47,141.63 × 19,054.20
  4. Step 4: Simplify right side
    34,160.56x = 898,246,036.38
  5. Step 5: Solve for x
    x = 898,246,036.38/34,160.56
  6. Step 6: Final answer
    x = 26,294.83

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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.