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Finding the Fourth Proportional to 73,783.81, 110,696.97 and 36,355.13

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Solution

The fourth proportional to 73,783.81, 110,696.97 and 36,355.13 is: 54,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,783.81 : 110,696.97 = 36,355.13 : x
  2. Step 2: Convert to fraction form
    73,783.81/110,696.97 = 36,355.13/x
  3. Step 3: Cross multiply
    73,783.81x = 110,696.97 × 36,355.13
  4. Step 4: Simplify right side
    73,783.81x = 4,024,402,181.47
  5. Step 5: Solve for x
    x = 4,024,402,181.47/73,783.81
  6. Step 6: Final answer
    x = 54,543.16

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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.