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Finding the Fourth Proportional to 47,870.81, 66,051.69 and 27,726.48

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Solution

The fourth proportional to 47,870.81, 66,051.69 and 27,726.48 is: 38,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,870.81 : 66,051.69 = 27,726.48 : x
  2. Step 2: Convert to fraction form
    47,870.81/66,051.69 = 27,726.48/x
  3. Step 3: Cross multiply
    47,870.81x = 66,051.69 × 27,726.48
  4. Step 4: Simplify right side
    47,870.81x = 1,831,380,861.75
  5. Step 5: Solve for x
    x = 1,831,380,861.75/47,870.81
  6. Step 6: Final answer
    x = 38,256.74

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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.