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Finding the Fourth Proportional to 101,143.07, 151,714.64 and 34,583.82

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Solution

The fourth proportional to 101,143.07, 151,714.64 and 34,583.82 is: 51,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,143.07 : 151,714.64 = 34,583.82 : x
  2. Step 2: Convert to fraction form
    101,143.07/151,714.64 = 34,583.82/x
  3. Step 3: Cross multiply
    101,143.07x = 151,714.64 × 34,583.82
  4. Step 4: Simplify right side
    101,143.07x = 5,246,871,801.12
  5. Step 5: Solve for x
    x = 5,246,871,801.12/101,143.07
  6. Step 6: Final answer
    x = 51,875.74

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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.