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Finding the Fourth Proportional to 34,340.63, 47,389.46 and 19,233.14

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Solution

The fourth proportional to 34,340.63, 47,389.46 and 19,233.14 is: 26,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,340.63 : 47,389.46 = 19,233.14 : x
  2. Step 2: Convert to fraction form
    34,340.63/47,389.46 = 19,233.14/x
  3. Step 3: Cross multiply
    34,340.63x = 47,389.46 × 19,233.14
  4. Step 4: Simplify right side
    34,340.63x = 911,447,785.59
  5. Step 5: Solve for x
    x = 911,447,785.59/34,340.63
  6. Step 6: Final answer
    x = 26,541.39

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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.