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Finding the Fourth Proportional to 64,009.40, 95,970.90 and 34,028.60

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Solution

The fourth proportional to 64,009.40, 95,970.90 and 34,028.60 is: 51,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,009.40 : 95,970.90 = 34,028.60 : x
  2. Step 2: Convert to fraction form
    64,009.40/95,970.90 = 34,028.60/x
  3. Step 3: Cross multiply
    64,009.40x = 95,970.90 × 34,028.60
  4. Step 4: Simplify right side
    64,009.40x = 3,265,755,367.74
  5. Step 5: Solve for x
    x = 3,265,755,367.74/64,009.40
  6. Step 6: Final answer
    x = 51,019.93

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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.