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Finding the Fourth Proportional to 66,498.60, 99,776.70 and 31,420.20

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Solution

The fourth proportional to 66,498.60, 99,776.70 and 31,420.20 is: 47,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498.60 : 99,776.70 = 31,420.20 : x
  2. Step 2: Convert to fraction form
    66,498.60/99,776.70 = 31,420.20/x
  3. Step 3: Cross multiply
    66,498.60x = 99,776.70 × 31,420.20
  4. Step 4: Simplify right side
    66,498.60x = 3,135,003,869.34
  5. Step 5: Solve for x
    x = 3,135,003,869.34/66,498.60
  6. Step 6: Final answer
    x = 47,143.91

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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.