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Finding the Fourth Proportional to 97,506.32, 134,558.12 and 52,794

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Solution

The fourth proportional to 97,506.32, 134,558.12 and 52,794 is: 72,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,506.32 : 134,558.12 = 52,794 : x
  2. Step 2: Convert to fraction form
    97,506.32/134,558.12 = 52,794/x
  3. Step 3: Cross multiply
    97,506.32x = 134,558.12 × 52,794
  4. Step 4: Simplify right side
    97,506.32x = 7,103,861,387.28
  5. Step 5: Solve for x
    x = 7,103,861,387.28/97,506.32
  6. Step 6: Final answer
    x = 72,855.39

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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.