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Finding the Fourth Proportional to 98,483.89, 147,713.45 and 27,411.86

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Solution

The fourth proportional to 98,483.89, 147,713.45 and 27,411.86 is: 41,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,483.89 : 147,713.45 = 27,411.86 : x
  2. Step 2: Convert to fraction form
    98,483.89/147,713.45 = 27,411.86/x
  3. Step 3: Cross multiply
    98,483.89x = 147,713.45 × 27,411.86
  4. Step 4: Simplify right side
    98,483.89x = 4,049,100,411.52
  5. Step 5: Solve for x
    x = 4,049,100,411.52/98,483.89
  6. Step 6: Final answer
    x = 41,114.34

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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.