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Finding the Fourth Proportional to 64,031, 96,047.04 and 22,478

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Solution

The fourth proportional to 64,031, 96,047.04 and 22,478 is: 33,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,031 : 96,047.04 = 22,478 : x
  2. Step 2: Convert to fraction form
    64,031/96,047.04 = 22,478/x
  3. Step 3: Cross multiply
    64,031x = 96,047.04 × 22,478
  4. Step 4: Simplify right side
    64,031x = 2,158,945,365.12
  5. Step 5: Solve for x
    x = 2,158,945,365.12/64,031
  6. Step 6: Final answer
    x = 33,717.19

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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.