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Finding the Fourth Proportional to 31,349.66, 47,031.65 and 13,583.27

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Solution

The fourth proportional to 31,349.66, 47,031.65 and 13,583.27 is: 20,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349.66 : 47,031.65 = 13,583.27 : x
  2. Step 2: Convert to fraction form
    31,349.66/47,031.65 = 13,583.27/x
  3. Step 3: Cross multiply
    31,349.66x = 47,031.65 × 13,583.27
  4. Step 4: Simplify right side
    31,349.66x = 638,843,600.50
  5. Step 5: Solve for x
    x = 638,843,600.50/31,349.66
  6. Step 6: Final answer
    x = 20,378.01

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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.