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Finding the Fourth Proportional to 31,389.48, 47,084.24 and 11,673

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Solution

The fourth proportional to 31,389.48, 47,084.24 and 11,673 is: 17,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389.48 : 47,084.24 = 11,673 : x
  2. Step 2: Convert to fraction form
    31,389.48/47,084.24 = 11,673/x
  3. Step 3: Cross multiply
    31,389.48x = 47,084.24 × 11,673
  4. Step 4: Simplify right side
    31,389.48x = 549,614,333.52
  5. Step 5: Solve for x
    x = 549,614,333.52/31,389.48
  6. Step 6: Final answer
    x = 17,509.51

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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.