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Finding the Fourth Proportional to 97,471.94, 134,520.31 and 59,222.67

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Solution

The fourth proportional to 97,471.94, 134,520.31 and 59,222.67 is: 81,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471.94 : 134,520.31 = 59,222.67 : x
  2. Step 2: Convert to fraction form
    97,471.94/134,520.31 = 59,222.67/x
  3. Step 3: Cross multiply
    97,471.94x = 134,520.31 × 59,222.67
  4. Step 4: Simplify right side
    97,471.94x = 7,966,651,497.00
  5. Step 5: Solve for x
    x = 7,966,651,497.00/97,471.94
  6. Step 6: Final answer
    x = 81,732.77

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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.