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Finding the Fourth Proportional to 113,330.92, 169,994.46 and 39,457

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Solution

The fourth proportional to 113,330.92, 169,994.46 and 39,457 is: 59,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,330.92 : 169,994.46 = 39,457 : x
  2. Step 2: Convert to fraction form
    113,330.92/169,994.46 = 39,457/x
  3. Step 3: Cross multiply
    113,330.92x = 169,994.46 × 39,457
  4. Step 4: Simplify right side
    113,330.92x = 6,707,471,408.22
  5. Step 5: Solve for x
    x = 6,707,471,408.22/113,330.92
  6. Step 6: Final answer
    x = 59,184.83

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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.