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Finding the Fourth Proportional to 77,197.86, 106,533.63 and 43,663.86

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Solution

The fourth proportional to 77,197.86, 106,533.63 and 43,663.86 is: 60,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.86 : 106,533.63 = 43,663.86 : x
  2. Step 2: Convert to fraction form
    77,197.86/106,533.63 = 43,663.86/x
  3. Step 3: Cross multiply
    77,197.86x = 106,533.63 × 43,663.86
  4. Step 4: Simplify right side
    77,197.86x = 4,651,669,505.61
  5. Step 5: Solve for x
    x = 4,651,669,505.61/77,197.86
  6. Step 6: Final answer
    x = 60,256.46

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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.