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Finding the Fourth Proportional to 97,506.81, 134,557.83 and 54,486.90

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Solution

The fourth proportional to 97,506.81, 134,557.83 and 54,486.90 is: 75,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,506.81 : 134,557.83 = 54,486.90 : x
  2. Step 2: Convert to fraction form
    97,506.81/134,557.83 = 54,486.90/x
  3. Step 3: Cross multiply
    97,506.81x = 134,557.83 × 54,486.90
  4. Step 4: Simplify right side
    97,506.81x = 7,331,639,027.43
  5. Step 5: Solve for x
    x = 7,331,639,027.43/97,506.81
  6. Step 6: Final answer
    x = 75,191.05

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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.