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Finding the Fourth Proportional to 119,806.77, 179,679.40 and 35,547

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Solution

The fourth proportional to 119,806.77, 179,679.40 and 35,547 is: 53,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,806.77 : 179,679.40 = 35,547 : x
  2. Step 2: Convert to fraction form
    119,806.77/179,679.40 = 35,547/x
  3. Step 3: Cross multiply
    119,806.77x = 179,679.40 × 35,547
  4. Step 4: Simplify right side
    119,806.77x = 6,387,063,631.80
  5. Step 5: Solve for x
    x = 6,387,063,631.80/119,806.77
  6. Step 6: Final answer
    x = 53,311.37

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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.