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Finding the Fourth Proportional to 70,848, 106,272 and 29,296.08

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Solution

The fourth proportional to 70,848, 106,272 and 29,296.08 is: 43,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 106,272 = 29,296.08 : x
  2. Step 2: Convert to fraction form
    70,848/106,272 = 29,296.08/x
  3. Step 3: Cross multiply
    70,848x = 106,272 × 29,296.08
  4. Step 4: Simplify right side
    70,848x = 3,113,353,013.76
  5. Step 5: Solve for x
    x = 3,113,353,013.76/70,848
  6. Step 6: Final answer
    x = 43,944.12

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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.