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Finding the Fourth Proportional to 70,822.34, 106,233.52 and 23,424.72

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Solution

The fourth proportional to 70,822.34, 106,233.52 and 23,424.72 is: 35,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.34 : 106,233.52 = 23,424.72 : x
  2. Step 2: Convert to fraction form
    70,822.34/106,233.52 = 23,424.72/x
  3. Step 3: Cross multiply
    70,822.34x = 106,233.52 × 23,424.72
  4. Step 4: Simplify right side
    70,822.34x = 2,488,490,460.61
  5. Step 5: Solve for x
    x = 2,488,490,460.61/70,822.34
  6. Step 6: Final answer
    x = 35,137.08

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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.