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Finding the Fourth Proportional to 29,271.45, 40,394.28 and 15,842.40

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Solution

The fourth proportional to 29,271.45, 40,394.28 and 15,842.40 is: 21,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,271.45 : 40,394.28 = 15,842.40 : x
  2. Step 2: Convert to fraction form
    29,271.45/40,394.28 = 15,842.40/x
  3. Step 3: Cross multiply
    29,271.45x = 40,394.28 × 15,842.40
  4. Step 4: Simplify right side
    29,271.45x = 639,942,341.47
  5. Step 5: Solve for x
    x = 639,942,341.47/29,271.45
  6. Step 6: Final answer
    x = 21,862.34

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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.