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Finding the Fourth Proportional to 97,030.42, 133,901.78 and 54,589

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Solution

The fourth proportional to 97,030.42, 133,901.78 and 54,589 is: 75,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,030.42 : 133,901.78 = 54,589 : x
  2. Step 2: Convert to fraction form
    97,030.42/133,901.78 = 54,589/x
  3. Step 3: Cross multiply
    97,030.42x = 133,901.78 × 54,589
  4. Step 4: Simplify right side
    97,030.42x = 7,309,564,268.42
  5. Step 5: Solve for x
    x = 7,309,564,268.42/97,030.42
  6. Step 6: Final answer
    x = 75,332.71

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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.