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Finding the Fourth Proportional to 47,324.43, 70,971.29 and 15,726.00

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Solution

The fourth proportional to 47,324.43, 70,971.29 and 15,726.00 is: 23,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324.43 : 70,971.29 = 15,726.00 : x
  2. Step 2: Convert to fraction form
    47,324.43/70,971.29 = 15,726.00/x
  3. Step 3: Cross multiply
    47,324.43x = 70,971.29 × 15,726.00
  4. Step 4: Simplify right side
    47,324.43x = 1,116,094,353.81
  5. Step 5: Solve for x
    x = 1,116,094,353.81/47,324.43
  6. Step 6: Final answer
    x = 23,583.90

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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.