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Finding the Fourth Proportional to 67,415.60, 101,094.24 and 51,844.16

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Solution

The fourth proportional to 67,415.60, 101,094.24 and 51,844.16 is: 77,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,415.60 : 101,094.24 = 51,844.16 : x
  2. Step 2: Convert to fraction form
    67,415.60/101,094.24 = 51,844.16/x
  3. Step 3: Cross multiply
    67,415.60x = 101,094.24 × 51,844.16
  4. Step 4: Simplify right side
    67,415.60x = 5,241,145,953.64
  5. Step 5: Solve for x
    x = 5,241,145,953.64/67,415.60
  6. Step 6: Final answer
    x = 77,743.82

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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.