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Finding the Fourth Proportional to 34,689.94, 47,871.79 and 19,582.28

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Solution

The fourth proportional to 34,689.94, 47,871.79 and 19,582.28 is: 27,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.94 : 47,871.79 = 19,582.28 : x
  2. Step 2: Convert to fraction form
    34,689.94/47,871.79 = 19,582.28/x
  3. Step 3: Cross multiply
    34,689.94x = 47,871.79 × 19,582.28
  4. Step 4: Simplify right side
    34,689.94x = 937,438,630.67
  5. Step 5: Solve for x
    x = 937,438,630.67/34,689.94
  6. Step 6: Final answer
    x = 27,023.36

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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.