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Finding the Fourth Proportional to 47,741.31, 65,875.70 and 27,594.31

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Solution

The fourth proportional to 47,741.31, 65,875.70 and 27,594.31 is: 38,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,741.31 : 65,875.70 = 27,594.31 : x
  2. Step 2: Convert to fraction form
    47,741.31/65,875.70 = 27,594.31/x
  3. Step 3: Cross multiply
    47,741.31x = 65,875.70 × 27,594.31
  4. Step 4: Simplify right side
    47,741.31x = 1,817,794,349.30
  5. Step 5: Solve for x
    x = 1,817,794,349.30/47,741.31
  6. Step 6: Final answer
    x = 38,075.92

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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.