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Finding the Fourth Proportional to 97,468.46, 134,528.69 and 63,416.87

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Solution

The fourth proportional to 97,468.46, 134,528.69 and 63,416.87 is: 87,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468.46 : 134,528.69 = 63,416.87 : x
  2. Step 2: Convert to fraction form
    97,468.46/134,528.69 = 63,416.87/x
  3. Step 3: Cross multiply
    97,468.46x = 134,528.69 × 63,416.87
  4. Step 4: Simplify right side
    97,468.46x = 8,531,388,445.00
  5. Step 5: Solve for x
    x = 8,531,388,445.00/97,468.46
  6. Step 6: Final answer
    x = 87,529.73

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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.