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Finding the Fourth Proportional to 53,336.34, 73,610.37 and 31,831.38

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Solution

The fourth proportional to 53,336.34, 73,610.37 and 31,831.38 is: 43,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,336.34 : 73,610.37 = 31,831.38 : x
  2. Step 2: Convert to fraction form
    53,336.34/73,610.37 = 31,831.38/x
  3. Step 3: Cross multiply
    53,336.34x = 73,610.37 × 31,831.38
  4. Step 4: Simplify right side
    53,336.34x = 2,343,119,659.41
  5. Step 5: Solve for x
    x = 2,343,119,659.41/53,336.34
  6. Step 6: Final answer
    x = 43,931.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.