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Finding the Fourth Proportional to 97,777.47, 134,921.75 and 54,750.98

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Solution

The fourth proportional to 97,777.47, 134,921.75 and 54,750.98 is: 75,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,777.47 : 134,921.75 = 54,750.98 : x
  2. Step 2: Convert to fraction form
    97,777.47/134,921.75 = 54,750.98/x
  3. Step 3: Cross multiply
    97,777.47x = 134,921.75 × 54,750.98
  4. Step 4: Simplify right side
    97,777.47x = 7,387,097,631.91
  5. Step 5: Solve for x
    x = 7,387,097,631.91/97,777.47
  6. Step 6: Final answer
    x = 75,550.10

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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.