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Finding the Fourth Proportional to 109,502.54, 164,283.05 and 34,624.11

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Solution

The fourth proportional to 109,502.54, 164,283.05 and 34,624.11 is: 51,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,502.54 : 164,283.05 = 34,624.11 : x
  2. Step 2: Convert to fraction form
    109,502.54/164,283.05 = 34,624.11/x
  3. Step 3: Cross multiply
    109,502.54x = 164,283.05 × 34,624.11
  4. Step 4: Simplify right side
    109,502.54x = 5,688,154,394.34
  5. Step 5: Solve for x
    x = 5,688,154,394.34/109,502.54
  6. Step 6: Final answer
    x = 51,945.41

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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.