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Finding the Fourth Proportional to 98,411.83, 147,616.53 and 31,850.49

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Solution

The fourth proportional to 98,411.83, 147,616.53 and 31,850.49 is: 47,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411.83 : 147,616.53 = 31,850.49 : x
  2. Step 2: Convert to fraction form
    98,411.83/147,616.53 = 31,850.49/x
  3. Step 3: Cross multiply
    98,411.83x = 147,616.53 × 31,850.49
  4. Step 4: Simplify right side
    98,411.83x = 4,701,658,812.60
  5. Step 5: Solve for x
    x = 4,701,658,812.60/98,411.83
  6. Step 6: Final answer
    x = 47,775.34

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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.