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Finding the Fourth Proportional to 142,822.36, 214,255.41 and 37,649.53

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Solution

The fourth proportional to 142,822.36, 214,255.41 and 37,649.53 is: 56,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,822.36 : 214,255.41 = 37,649.53 : x
  2. Step 2: Convert to fraction form
    142,822.36/214,255.41 = 37,649.53/x
  3. Step 3: Cross multiply
    142,822.36x = 214,255.41 × 37,649.53
  4. Step 4: Simplify right side
    142,822.36x = 8,066,615,486.46
  5. Step 5: Solve for x
    x = 8,066,615,486.46/142,822.36
  6. Step 6: Final answer
    x = 56,480.06

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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.