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Finding the Fourth Proportional to 47,056.50, 64,909.45 and 27,923.67

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Solution

The fourth proportional to 47,056.50, 64,909.45 and 27,923.67 is: 38,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056.50 : 64,909.45 = 27,923.67 : x
  2. Step 2: Convert to fraction form
    47,056.50/64,909.45 = 27,923.67/x
  3. Step 3: Cross multiply
    47,056.50x = 64,909.45 × 27,923.67
  4. Step 4: Simplify right side
    47,056.50x = 1,812,509,922.06
  5. Step 5: Solve for x
    x = 1,812,509,922.06/47,056.50
  6. Step 6: Final answer
    x = 38,517.74

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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.