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Finding the Fourth Proportional to 77,331.72, 106,712.72 and 45,494.46

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Solution

The fourth proportional to 77,331.72, 106,712.72 and 45,494.46 is: 62,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,331.72 : 106,712.72 = 45,494.46 : x
  2. Step 2: Convert to fraction form
    77,331.72/106,712.72 = 45,494.46/x
  3. Step 3: Cross multiply
    77,331.72x = 106,712.72 × 45,494.46
  4. Step 4: Simplify right side
    77,331.72x = 4,854,837,610.84
  5. Step 5: Solve for x
    x = 4,854,837,610.84/77,331.72
  6. Step 6: Final answer
    x = 62,779.39

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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.