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Finding the Fourth Proportional to 109,582.74, 164,346.42 and 56,244.87

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Solution

The fourth proportional to 109,582.74, 164,346.42 and 56,244.87 is: 84,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,582.74 : 164,346.42 = 56,244.87 : x
  2. Step 2: Convert to fraction form
    109,582.74/164,346.42 = 56,244.87/x
  3. Step 3: Cross multiply
    109,582.74x = 164,346.42 × 56,244.87
  4. Step 4: Simplify right side
    109,582.74x = 9,243,643,027.87
  5. Step 5: Solve for x
    x = 9,243,643,027.87/109,582.74
  6. Step 6: Final answer
    x = 84,353.09

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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.