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Finding the Fourth Proportional to 98,292.94, 147,439.51 and 24,420.94

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Solution

The fourth proportional to 98,292.94, 147,439.51 and 24,420.94 is: 36,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,292.94 : 147,439.51 = 24,420.94 : x
  2. Step 2: Convert to fraction form
    98,292.94/147,439.51 = 24,420.94/x
  3. Step 3: Cross multiply
    98,292.94x = 147,439.51 × 24,420.94
  4. Step 4: Simplify right side
    98,292.94x = 3,600,610,997.69
  5. Step 5: Solve for x
    x = 3,600,610,997.69/98,292.94
  6. Step 6: Final answer
    x = 36,631.43

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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.