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Finding the Fourth Proportional to 97,472, 134,511.36 and 52,760

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Solution

The fourth proportional to 97,472, 134,511.36 and 52,760 is: 72,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,472 : 134,511.36 = 52,760 : x
  2. Step 2: Convert to fraction form
    97,472/134,511.36 = 52,760/x
  3. Step 3: Cross multiply
    97,472x = 134,511.36 × 52,760
  4. Step 4: Simplify right side
    97,472x = 7,096,819,353.60
  5. Step 5: Solve for x
    x = 7,096,819,353.60/97,472
  6. Step 6: Final answer
    x = 72,808.80

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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.