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Finding the Fourth Proportional to 97,820.76, 146,711.70 and 47,879.40

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Solution

The fourth proportional to 97,820.76, 146,711.70 and 47,879.40 is: 71,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,820.76 : 146,711.70 = 47,879.40 : x
  2. Step 2: Convert to fraction form
    97,820.76/146,711.70 = 47,879.40/x
  3. Step 3: Cross multiply
    97,820.76x = 146,711.70 × 47,879.40
  4. Step 4: Simplify right side
    97,820.76x = 7,024,468,168.98
  5. Step 5: Solve for x
    x = 7,024,468,168.98/97,820.76
  6. Step 6: Final answer
    x = 71,809.58

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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.