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Finding the Fourth Proportional to 47,696.47, 65,824.11 and 27,554.20

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Solution

The fourth proportional to 47,696.47, 65,824.11 and 27,554.20 is: 38,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.47 : 65,824.11 = 27,554.20 : x
  2. Step 2: Convert to fraction form
    47,696.47/65,824.11 = 27,554.20/x
  3. Step 3: Cross multiply
    47,696.47x = 65,824.11 × 27,554.20
  4. Step 4: Simplify right side
    47,696.47x = 1,813,730,691.76
  5. Step 5: Solve for x
    x = 1,813,730,691.76/47,696.47
  6. Step 6: Final answer
    x = 38,026.52

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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.