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Finding the Fourth Proportional to 70,103.50, 105,155.48 and 17,512.98

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Solution

The fourth proportional to 70,103.50, 105,155.48 and 17,512.98 is: 26,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,103.50 : 105,155.48 = 17,512.98 : x
  2. Step 2: Convert to fraction form
    70,103.50/105,155.48 = 17,512.98/x
  3. Step 3: Cross multiply
    70,103.50x = 105,155.48 × 17,512.98
  4. Step 4: Simplify right side
    70,103.50x = 1,841,585,818.13
  5. Step 5: Solve for x
    x = 1,841,585,818.13/70,103.50
  6. Step 6: Final answer
    x = 26,269.53

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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.