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Finding the Fourth Proportional to 31,235.70, 46,871.85 and 11,527.98

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Solution

The fourth proportional to 31,235.70, 46,871.85 and 11,527.98 is: 17,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.70 : 46,871.85 = 11,527.98 : x
  2. Step 2: Convert to fraction form
    31,235.70/46,871.85 = 11,527.98/x
  3. Step 3: Cross multiply
    31,235.70x = 46,871.85 × 11,527.98
  4. Step 4: Simplify right side
    31,235.70x = 540,337,749.36
  5. Step 5: Solve for x
    x = 540,337,749.36/31,235.70
  6. Step 6: Final answer
    x = 17,298.72

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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.