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Finding the Fourth Proportional to 56,133.38, 77,462.14 and 33,460.68

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Solution

The fourth proportional to 56,133.38, 77,462.14 and 33,460.68 is: 46,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,133.38 : 77,462.14 = 33,460.68 : x
  2. Step 2: Convert to fraction form
    56,133.38/77,462.14 = 33,460.68/x
  3. Step 3: Cross multiply
    56,133.38x = 77,462.14 × 33,460.68
  4. Step 4: Simplify right side
    56,133.38x = 2,591,936,085.49
  5. Step 5: Solve for x
    x = 2,591,936,085.49/56,133.38
  6. Step 6: Final answer
    x = 46,174.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.