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Finding the Fourth Proportional to 56,289.85, 84,531.36 and 49,978.99

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Solution

The fourth proportional to 56,289.85, 84,531.36 and 49,978.99 is: 75,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,289.85 : 84,531.36 = 49,978.99 : x
  2. Step 2: Convert to fraction form
    56,289.85/84,531.36 = 49,978.99/x
  3. Step 3: Cross multiply
    56,289.85x = 84,531.36 × 49,978.99
  4. Step 4: Simplify right side
    56,289.85x = 4,224,791,573.47
  5. Step 5: Solve for x
    x = 4,224,791,573.47/56,289.85
  6. Step 6: Final answer
    x = 75,054.24

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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.