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Finding the Fourth Proportional to 64,803.61, 97,142.23 and 31,522.33

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Solution

The fourth proportional to 64,803.61, 97,142.23 and 31,522.33 is: 47,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,803.61 : 97,142.23 = 31,522.33 : x
  2. Step 2: Convert to fraction form
    64,803.61/97,142.23 = 31,522.33/x
  3. Step 3: Cross multiply
    64,803.61x = 97,142.23 × 31,522.33
  4. Step 4: Simplify right side
    64,803.61x = 3,062,149,431.00
  5. Step 5: Solve for x
    x = 3,062,149,431.00/64,803.61
  6. Step 6: Final answer
    x = 47,252.76

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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.