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Finding the Fourth Proportional to 97,672.50, 146,509.47 and 23,800.50

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Solution

The fourth proportional to 97,672.50, 146,509.47 and 23,800.50 is: 35,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672.50 : 146,509.47 = 23,800.50 : x
  2. Step 2: Convert to fraction form
    97,672.50/146,509.47 = 23,800.50/x
  3. Step 3: Cross multiply
    97,672.50x = 146,509.47 × 23,800.50
  4. Step 4: Simplify right side
    97,672.50x = 3,486,998,640.74
  5. Step 5: Solve for x
    x = 3,486,998,640.74/97,672.50
  6. Step 6: Final answer
    x = 35,700.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.