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Finding the Fourth Proportional to 124,093.68, 186,138.12 and 35,347.76

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Solution

The fourth proportional to 124,093.68, 186,138.12 and 35,347.76 is: 53,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,093.68 : 186,138.12 = 35,347.76 : x
  2. Step 2: Convert to fraction form
    124,093.68/186,138.12 = 35,347.76/x
  3. Step 3: Cross multiply
    124,093.68x = 186,138.12 × 35,347.76
  4. Step 4: Simplify right side
    124,093.68x = 6,579,565,592.61
  5. Step 5: Solve for x
    x = 6,579,565,592.61/124,093.68
  6. Step 6: Final answer
    x = 53,020.96

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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.