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Finding the Fourth Proportional to 116,714.40, 175,093.20 and 37,831.20

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Solution

The fourth proportional to 116,714.40, 175,093.20 and 37,831.20 is: 56,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714.40 : 175,093.20 = 37,831.20 : x
  2. Step 2: Convert to fraction form
    116,714.40/175,093.20 = 37,831.20/x
  3. Step 3: Cross multiply
    116,714.40x = 175,093.20 × 37,831.20
  4. Step 4: Simplify right side
    116,714.40x = 6,623,985,867.84
  5. Step 5: Solve for x
    x = 6,623,985,867.84/116,714.40
  6. Step 6: Final answer
    x = 56,753.80

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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.