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Finding the Fourth Proportional to 56,509.78, 84,778.84 and 39,902.22

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Solution

The fourth proportional to 56,509.78, 84,778.84 and 39,902.22 is: 59,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509.78 : 84,778.84 = 39,902.22 : x
  2. Step 2: Convert to fraction form
    56,509.78/84,778.84 = 39,902.22/x
  3. Step 3: Cross multiply
    56,509.78x = 84,778.84 × 39,902.22
  4. Step 4: Simplify right side
    56,509.78x = 3,382,863,925.02
  5. Step 5: Solve for x
    x = 3,382,863,925.02/56,509.78
  6. Step 6: Final answer
    x = 59,863.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.