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Finding the Fourth Proportional to 161,384.75, 242,033.88 and 49,034.81

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Solution

The fourth proportional to 161,384.75, 242,033.88 and 49,034.81 is: 73,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,384.75 : 242,033.88 = 49,034.81 : x
  2. Step 2: Convert to fraction form
    161,384.75/242,033.88 = 49,034.81/x
  3. Step 3: Cross multiply
    161,384.75x = 242,033.88 × 49,034.81
  4. Step 4: Simplify right side
    161,384.75x = 11,868,084,109.19
  5. Step 5: Solve for x
    x = 11,868,084,109.19/161,384.75
  6. Step 6: Final answer
    x = 73,539.07

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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.