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Finding the Fourth Proportional to 64,000.40, 95,957.40 and 34,019.60

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Solution

The fourth proportional to 64,000.40, 95,957.40 and 34,019.60 is: 51,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.40 : 95,957.40 = 34,019.60 : x
  2. Step 2: Convert to fraction form
    64,000.40/95,957.40 = 34,019.60/x
  3. Step 3: Cross multiply
    64,000.40x = 95,957.40 × 34,019.60
  4. Step 4: Simplify right side
    64,000.40x = 3,264,432,365.04
  5. Step 5: Solve for x
    x = 3,264,432,365.04/64,000.40
  6. Step 6: Final answer
    x = 51,006.44

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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.