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Finding the Fourth Proportional to 118,572, 177,806 and 35,446.56

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Solution

The fourth proportional to 118,572, 177,806 and 35,446.56 is: 53,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,572 : 177,806 = 35,446.56 : x
  2. Step 2: Convert to fraction form
    118,572/177,806 = 35,446.56/x
  3. Step 3: Cross multiply
    118,572x = 177,806 × 35,446.56
  4. Step 4: Simplify right side
    118,572x = 6,302,611,047.36
  5. Step 5: Solve for x
    x = 6,302,611,047.36/118,572
  6. Step 6: Final answer
    x = 53,154.29

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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.