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Finding the Fourth Proportional to 110,537.40, 165,831.54 and 31,652.28

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Solution

The fourth proportional to 110,537.40, 165,831.54 and 31,652.28 is: 47,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,537.40 : 165,831.54 = 31,652.28 : x
  2. Step 2: Convert to fraction form
    110,537.40/165,831.54 = 31,652.28/x
  3. Step 3: Cross multiply
    110,537.40x = 165,831.54 × 31,652.28
  4. Step 4: Simplify right side
    110,537.40x = 5,248,946,336.91
  5. Step 5: Solve for x
    x = 5,248,946,336.91/110,537.40
  6. Step 6: Final answer
    x = 47,485.70

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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.