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Finding the Fourth Proportional to 65,052.24, 97,511.24 and 31,731.12

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Solution

The fourth proportional to 65,052.24, 97,511.24 and 31,731.12 is: 47,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.24 : 97,511.24 = 31,731.12 : x
  2. Step 2: Convert to fraction form
    65,052.24/97,511.24 = 31,731.12/x
  3. Step 3: Cross multiply
    65,052.24x = 97,511.24 × 31,731.12
  4. Step 4: Simplify right side
    65,052.24x = 3,094,140,699.13
  5. Step 5: Solve for x
    x = 3,094,140,699.13/65,052.24
  6. Step 6: Final answer
    x = 47,563.94

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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.