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Finding the Fourth Proportional to 77,031.52, 106,303.52 and 43,497.44

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Solution

The fourth proportional to 77,031.52, 106,303.52 and 43,497.44 is: 60,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.52 : 106,303.52 = 43,497.44 : x
  2. Step 2: Convert to fraction form
    77,031.52/106,303.52 = 43,497.44/x
  3. Step 3: Cross multiply
    77,031.52x = 106,303.52 × 43,497.44
  4. Step 4: Simplify right side
    77,031.52x = 4,623,930,982.99
  5. Step 5: Solve for x
    x = 4,623,930,982.99/77,031.52
  6. Step 6: Final answer
    x = 60,026.48

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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.