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Finding the Fourth Proportional to 64,002.56, 96,071.50 and 35,946.60

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Solution

The fourth proportional to 64,002.56, 96,071.50 and 35,946.60 is: 53,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,002.56 : 96,071.50 = 35,946.60 : x
  2. Step 2: Convert to fraction form
    64,002.56/96,071.50 = 35,946.60/x
  3. Step 3: Cross multiply
    64,002.56x = 96,071.50 × 35,946.60
  4. Step 4: Simplify right side
    64,002.56x = 3,453,443,781.90
  5. Step 5: Solve for x
    x = 3,453,443,781.90/64,002.56
  6. Step 6: Final answer
    x = 53,957.90

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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.