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Finding the Fourth Proportional to 109,545.99, 164,302.53 and 34,656.40

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Solution

The fourth proportional to 109,545.99, 164,302.53 and 34,656.40 is: 51,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,545.99 : 164,302.53 = 34,656.40 : x
  2. Step 2: Convert to fraction form
    109,545.99/164,302.53 = 34,656.40/x
  3. Step 3: Cross multiply
    109,545.99x = 164,302.53 × 34,656.40
  4. Step 4: Simplify right side
    109,545.99x = 5,694,133,789.94
  5. Step 5: Solve for x
    x = 5,694,133,789.94/109,545.99
  6. Step 6: Final answer
    x = 51,979.39

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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.