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Finding the Fourth Proportional to 97,465.96, 134,525.24 and 63,414.37

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Solution

The fourth proportional to 97,465.96, 134,525.24 and 63,414.37 is: 87,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.96 : 134,525.24 = 63,414.37 : x
  2. Step 2: Convert to fraction form
    97,465.96/134,525.24 = 63,414.37/x
  3. Step 3: Cross multiply
    97,465.96x = 134,525.24 × 63,414.37
  4. Step 4: Simplify right side
    97,465.96x = 8,530,833,343.70
  5. Step 5: Solve for x
    x = 8,530,833,343.70/97,465.96
  6. Step 6: Final answer
    x = 87,526.28

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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.