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Finding the Fourth Proportional to 47,588, 65,671.44 and 27,716

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Solution

The fourth proportional to 47,588, 65,671.44 and 27,716 is: 38,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,588 : 65,671.44 = 27,716 : x
  2. Step 2: Convert to fraction form
    47,588/65,671.44 = 27,716/x
  3. Step 3: Cross multiply
    47,588x = 65,671.44 × 27,716
  4. Step 4: Simplify right side
    47,588x = 1,820,149,631.04
  5. Step 5: Solve for x
    x = 1,820,149,631.04/47,588
  6. Step 6: Final answer
    x = 38,248.08

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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.