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Finding the Fourth Proportional to 31,908.60, 47,873.10 and 9,726.20

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Solution

The fourth proportional to 31,908.60, 47,873.10 and 9,726.20 is: 14,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.60 : 47,873.10 = 9,726.20 : x
  2. Step 2: Convert to fraction form
    31,908.60/47,873.10 = 9,726.20/x
  3. Step 3: Cross multiply
    31,908.60x = 47,873.10 × 9,726.20
  4. Step 4: Simplify right side
    31,908.60x = 465,623,345.22
  5. Step 5: Solve for x
    x = 465,623,345.22/31,908.60
  6. Step 6: Final answer
    x = 14,592.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.