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Finding the Fourth Proportional to 97,469.86, 134,509.52 and 57,184.32

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Solution

The fourth proportional to 97,469.86, 134,509.52 and 57,184.32 is: 78,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,469.86 : 134,509.52 = 57,184.32 : x
  2. Step 2: Convert to fraction form
    97,469.86/134,509.52 = 57,184.32/x
  3. Step 3: Cross multiply
    97,469.86x = 134,509.52 × 57,184.32
  4. Step 4: Simplify right side
    97,469.86x = 7,691,835,434.73
  5. Step 5: Solve for x
    x = 7,691,835,434.73/97,469.86
  6. Step 6: Final answer
    x = 78,915.01

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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.