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Finding the Fourth Proportional to 98,606.16, 147,923.01 and 32,024.97

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Solution

The fourth proportional to 98,606.16, 147,923.01 and 32,024.97 is: 48,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,606.16 : 147,923.01 = 32,024.97 : x
  2. Step 2: Convert to fraction form
    98,606.16/147,923.01 = 32,024.97/x
  3. Step 3: Cross multiply
    98,606.16x = 147,923.01 × 32,024.97
  4. Step 4: Simplify right side
    98,606.16x = 4,737,229,957.56
  5. Step 5: Solve for x
    x = 4,737,229,957.56/98,606.16
  6. Step 6: Final answer
    x = 48,041.93

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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.