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Finding the Fourth Proportional to 73,578, 101,537.64 and 40,044.24

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Solution

The fourth proportional to 73,578, 101,537.64 and 40,044.24 is: 55,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,578 : 101,537.64 = 40,044.24 : x
  2. Step 2: Convert to fraction form
    73,578/101,537.64 = 40,044.24/x
  3. Step 3: Cross multiply
    73,578x = 101,537.64 × 40,044.24
  4. Step 4: Simplify right side
    73,578x = 4,065,997,625.19
  5. Step 5: Solve for x
    x = 4,065,997,625.19/73,578
  6. Step 6: Final answer
    x = 55,261.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.