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Finding the Fourth Proportional to 47,617, 65,711.46 and 27,748.84

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Solution

The fourth proportional to 47,617, 65,711.46 and 27,748.84 is: 38,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,617 : 65,711.46 = 27,748.84 : x
  2. Step 2: Convert to fraction form
    47,617/65,711.46 = 27,748.84/x
  3. Step 3: Cross multiply
    47,617x = 65,711.46 × 27,748.84
  4. Step 4: Simplify right side
    47,617x = 1,823,416,789.71
  5. Step 5: Solve for x
    x = 1,823,416,789.71/47,617
  6. Step 6: Final answer
    x = 38,293.40

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1.5x scale

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.