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Finding the Fourth Proportional to 34,116.81, 47,084.66 and 19,011.93

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Solution

The fourth proportional to 34,116.81, 47,084.66 and 19,011.93 is: 26,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116.81 : 47,084.66 = 19,011.93 : x
  2. Step 2: Convert to fraction form
    34,116.81/47,084.66 = 19,011.93/x
  3. Step 3: Cross multiply
    34,116.81x = 47,084.66 × 19,011.93
  4. Step 4: Simplify right side
    34,116.81x = 895,170,259.99
  5. Step 5: Solve for x
    x = 895,170,259.99/34,116.81
  6. Step 6: Final answer
    x = 26,238.39

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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.