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Finding the Fourth Proportional to 105,027.48, 144,950.38 and 59,712.30

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Solution

The fourth proportional to 105,027.48, 144,950.38 and 59,712.30 is: 82,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.48 : 144,950.38 = 59,712.30 : x
  2. Step 2: Convert to fraction form
    105,027.48/144,950.38 = 59,712.30/x
  3. Step 3: Cross multiply
    105,027.48x = 144,950.38 × 59,712.30
  4. Step 4: Simplify right side
    105,027.48x = 8,655,320,426.39
  5. Step 5: Solve for x
    x = 8,655,320,426.39/105,027.48
  6. Step 6: Final answer
    x = 82,410.06

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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.