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Finding the Fourth Proportional to 47,529.34, 65,594.79 and 27,653.50

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Solution

The fourth proportional to 47,529.34, 65,594.79 and 27,653.50 is: 38,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,529.34 : 65,594.79 = 27,653.50 : x
  2. Step 2: Convert to fraction form
    47,529.34/65,594.79 = 27,653.50/x
  3. Step 3: Cross multiply
    47,529.34x = 65,594.79 × 27,653.50
  4. Step 4: Simplify right side
    47,529.34x = 1,813,925,525.27
  5. Step 5: Solve for x
    x = 1,813,925,525.27/47,529.34
  6. Step 6: Final answer
    x = 38,164.33

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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.