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Finding the Fourth Proportional to 98,906.50, 148,378.35 and 39,746.86

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Solution

The fourth proportional to 98,906.50, 148,378.35 and 39,746.86 is: 59,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906.50 : 148,378.35 = 39,746.86 : x
  2. Step 2: Convert to fraction form
    98,906.50/148,378.35 = 39,746.86/x
  3. Step 3: Cross multiply
    98,906.50x = 148,378.35 × 39,746.86
  4. Step 4: Simplify right side
    98,906.50x = 5,897,573,504.48
  5. Step 5: Solve for x
    x = 5,897,573,504.48/98,906.50
  6. Step 6: Final answer
    x = 59,627.76

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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.