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Finding the Fourth Proportional to 97,156.76, 134,076.72 and 54,716

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Solution

The fourth proportional to 97,156.76, 134,076.72 and 54,716 is: 75,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,156.76 : 134,076.72 = 54,716 : x
  2. Step 2: Convert to fraction form
    97,156.76/134,076.72 = 54,716/x
  3. Step 3: Cross multiply
    97,156.76x = 134,076.72 × 54,716
  4. Step 4: Simplify right side
    97,156.76x = 7,336,141,811.52
  5. Step 5: Solve for x
    x = 7,336,141,811.52/97,156.76
  6. Step 6: Final answer
    x = 75,508.30

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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.