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Finding the Fourth Proportional to 47,152.76, 65,067.50 and 28,031.54

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Solution

The fourth proportional to 47,152.76, 65,067.50 and 28,031.54 is: 38,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152.76 : 65,067.50 = 28,031.54 : x
  2. Step 2: Convert to fraction form
    47,152.76/65,067.50 = 28,031.54/x
  3. Step 3: Cross multiply
    47,152.76x = 65,067.50 × 28,031.54
  4. Step 4: Simplify right side
    47,152.76x = 1,823,941,763.45
  5. Step 5: Solve for x
    x = 1,823,941,763.45/47,152.76
  6. Step 6: Final answer
    x = 38,681.55

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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.