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Finding the Fourth Proportional to 77,588.68, 116,383.02 and 36,013

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Solution

The fourth proportional to 77,588.68, 116,383.02 and 36,013 is: 54,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,588.68 : 116,383.02 = 36,013 : x
  2. Step 2: Convert to fraction form
    77,588.68/116,383.02 = 36,013/x
  3. Step 3: Cross multiply
    77,588.68x = 116,383.02 × 36,013
  4. Step 4: Simplify right side
    77,588.68x = 4,191,301,699.26
  5. Step 5: Solve for x
    x = 4,191,301,699.26/77,588.68
  6. Step 6: Final answer
    x = 54,019.50

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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.