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Finding the Fourth Proportional to 109,652.68, 164,529.06 and 59,657.80

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Solution

The fourth proportional to 109,652.68, 164,529.06 and 59,657.80 is: 89,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,652.68 : 164,529.06 = 59,657.80 : x
  2. Step 2: Convert to fraction form
    109,652.68/164,529.06 = 59,657.80/x
  3. Step 3: Cross multiply
    109,652.68x = 164,529.06 × 59,657.80
  4. Step 4: Simplify right side
    109,652.68x = 9,815,441,755.67
  5. Step 5: Solve for x
    x = 9,815,441,755.67/109,652.68
  6. Step 6: Final answer
    x = 89,513.92

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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.