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Finding the Fourth Proportional to 47,527.50, 65,587.95 and 27,655.50

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Solution

The fourth proportional to 47,527.50, 65,587.95 and 27,655.50 is: 38,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,527.50 : 65,587.95 = 27,655.50 : x
  2. Step 2: Convert to fraction form
    47,527.50/65,587.95 = 27,655.50/x
  3. Step 3: Cross multiply
    47,527.50x = 65,587.95 × 27,655.50
  4. Step 4: Simplify right side
    47,527.50x = 1,813,867,551.23
  5. Step 5: Solve for x
    x = 1,813,867,551.23/47,527.50
  6. Step 6: Final answer
    x = 38,164.59

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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.