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Finding the Fourth Proportional to 64,831.86, 97,208.91 and 29,727.54

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Solution

The fourth proportional to 64,831.86, 97,208.91 and 29,727.54 is: 44,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,831.86 : 97,208.91 = 29,727.54 : x
  2. Step 2: Convert to fraction form
    64,831.86/97,208.91 = 29,727.54/x
  3. Step 3: Cross multiply
    64,831.86x = 97,208.91 × 29,727.54
  4. Step 4: Simplify right side
    64,831.86x = 2,889,781,760.38
  5. Step 5: Solve for x
    x = 2,889,781,760.38/64,831.86
  6. Step 6: Final answer
    x = 44,573.48

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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.