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Finding the Fourth Proportional to 65,240.94, 97,846.70 and 31,927.52

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Solution

The fourth proportional to 65,240.94, 97,846.70 and 31,927.52 is: 47,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240.94 : 97,846.70 = 31,927.52 : x
  2. Step 2: Convert to fraction form
    65,240.94/97,846.70 = 31,927.52/x
  3. Step 3: Cross multiply
    65,240.94x = 97,846.70 × 31,927.52
  4. Step 4: Simplify right side
    65,240.94x = 3,124,002,471.18
  5. Step 5: Solve for x
    x = 3,124,002,471.18/65,240.94
  6. Step 6: Final answer
    x = 47,884.08

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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.