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Finding the Fourth Proportional to 97,494.50, 134,465.96 and 63,513.70

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Solution

The fourth proportional to 97,494.50, 134,465.96 and 63,513.70 is: 87,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494.50 : 134,465.96 = 63,513.70 : x
  2. Step 2: Convert to fraction form
    97,494.50/134,465.96 = 63,513.70/x
  3. Step 3: Cross multiply
    97,494.50x = 134,465.96 × 63,513.70
  4. Step 4: Simplify right side
    97,494.50x = 8,540,430,643.65
  5. Step 5: Solve for x
    x = 8,540,430,643.65/97,494.50
  6. Step 6: Final answer
    x = 87,599.10

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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.