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Finding the Fourth Proportional to 47,580, 65,659.44 and 27,437.76

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Solution

The fourth proportional to 47,580, 65,659.44 and 27,437.76 is: 37,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,580 : 65,659.44 = 27,437.76 : x
  2. Step 2: Convert to fraction form
    47,580/65,659.44 = 27,437.76/x
  3. Step 3: Cross multiply
    47,580x = 65,659.44 × 27,437.76
  4. Step 4: Simplify right side
    47,580x = 1,801,547,956.45
  5. Step 5: Solve for x
    x = 1,801,547,956.45/47,580
  6. Step 6: Final answer
    x = 37,863.56

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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.