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Finding the Fourth Proportional to 109,712.31, 164,599.99 and 45,657.98

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Solution

The fourth proportional to 109,712.31, 164,599.99 and 45,657.98 is: 68,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712.31 : 164,599.99 = 45,657.98 : x
  2. Step 2: Convert to fraction form
    109,712.31/164,599.99 = 45,657.98/x
  3. Step 3: Cross multiply
    109,712.31x = 164,599.99 × 45,657.98
  4. Step 4: Simplify right side
    109,712.31x = 7,515,303,657.40
  5. Step 5: Solve for x
    x = 7,515,303,657.40/109,712.31
  6. Step 6: Final answer
    x = 68,500.10

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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.