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Finding the Fourth Proportional to 119,656.48, 179,478.24 and 36,544

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Solution

The fourth proportional to 119,656.48, 179,478.24 and 36,544 is: 54,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,656.48 : 179,478.24 = 36,544 : x
  2. Step 2: Convert to fraction form
    119,656.48/179,478.24 = 36,544/x
  3. Step 3: Cross multiply
    119,656.48x = 179,478.24 × 36,544
  4. Step 4: Simplify right side
    119,656.48x = 6,558,852,802.56
  5. Step 5: Solve for x
    x = 6,558,852,802.56/119,656.48
  6. Step 6: Final answer
    x = 54,814.02

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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.