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Finding the Fourth Proportional to 47,529.84, 65,595.48 and 27,654

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Solution

The fourth proportional to 47,529.84, 65,595.48 and 27,654 is: 38,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,529.84 : 65,595.48 = 27,654 : x
  2. Step 2: Convert to fraction form
    47,529.84/65,595.48 = 27,654/x
  3. Step 3: Cross multiply
    47,529.84x = 65,595.48 × 27,654
  4. Step 4: Simplify right side
    47,529.84x = 1,813,977,403.92
  5. Step 5: Solve for x
    x = 1,813,977,403.92/47,529.84
  6. Step 6: Final answer
    x = 38,165.02

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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.