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Finding the Fourth Proportional to 34,751.35, 47,959.86 and 19,646.71

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Solution

The fourth proportional to 34,751.35, 47,959.86 and 19,646.71 is: 27,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.35 : 47,959.86 = 19,646.71 : x
  2. Step 2: Convert to fraction form
    34,751.35/47,959.86 = 19,646.71/x
  3. Step 3: Cross multiply
    34,751.35x = 47,959.86 × 19,646.71
  4. Step 4: Simplify right side
    34,751.35x = 942,253,461.06
  5. Step 5: Solve for x
    x = 942,253,461.06/34,751.35
  6. Step 6: Final answer
    x = 27,114.15

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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.