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Finding the Fourth Proportional to 109,870.50, 164,708.01 and 39,734.22

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Solution

The fourth proportional to 109,870.50, 164,708.01 and 39,734.22 is: 59,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,870.50 : 164,708.01 = 39,734.22 : x
  2. Step 2: Convert to fraction form
    109,870.50/164,708.01 = 39,734.22/x
  3. Step 3: Cross multiply
    109,870.50x = 164,708.01 × 39,734.22
  4. Step 4: Simplify right side
    109,870.50x = 6,544,544,305.10
  5. Step 5: Solve for x
    x = 6,544,544,305.10/109,870.50
  6. Step 6: Final answer
    x = 59,565.98

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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.