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Finding the Fourth Proportional to 64,573.56, 96,885.36 and 31,291.20

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Solution

The fourth proportional to 64,573.56, 96,885.36 and 31,291.20 is: 46,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,573.56 : 96,885.36 = 31,291.20 : x
  2. Step 2: Convert to fraction form
    64,573.56/96,885.36 = 31,291.20/x
  3. Step 3: Cross multiply
    64,573.56x = 96,885.36 × 31,291.20
  4. Step 4: Simplify right side
    64,573.56x = 3,031,659,176.83
  5. Step 5: Solve for x
    x = 3,031,659,176.83/64,573.56
  6. Step 6: Final answer
    x = 46,948.92

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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.