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Finding the Fourth Proportional to 65,951.64, 91,014.94 and 40,472.08

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Solution

The fourth proportional to 65,951.64, 91,014.94 and 40,472.08 is: 55,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,951.64 : 91,014.94 = 40,472.08 : x
  2. Step 2: Convert to fraction form
    65,951.64/91,014.94 = 40,472.08/x
  3. Step 3: Cross multiply
    65,951.64x = 91,014.94 × 40,472.08
  4. Step 4: Simplify right side
    65,951.64x = 3,683,564,011.91
  5. Step 5: Solve for x
    x = 3,683,564,011.91/65,951.64
  6. Step 6: Final answer
    x = 55,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.