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Finding the Fourth Proportional to 34,602.88, 47,752.14 and 19,495.78

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Solution

The fourth proportional to 34,602.88, 47,752.14 and 19,495.78 is: 26,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.88 : 47,752.14 = 19,495.78 : x
  2. Step 2: Convert to fraction form
    34,602.88/47,752.14 = 19,495.78/x
  3. Step 3: Cross multiply
    34,602.88x = 47,752.14 × 19,495.78
  4. Step 4: Simplify right side
    34,602.88x = 930,965,215.97
  5. Step 5: Solve for x
    x = 930,965,215.97/34,602.88
  6. Step 6: Final answer
    x = 26,904.27

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1.5x scale

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.