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Finding the Fourth Proportional to 47,310.48, 70,977.12 and 17,728.57

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Solution

The fourth proportional to 47,310.48, 70,977.12 and 17,728.57 is: 26,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,310.48 : 70,977.12 = 17,728.57 : x
  2. Step 2: Convert to fraction form
    47,310.48/70,977.12 = 17,728.57/x
  3. Step 3: Cross multiply
    47,310.48x = 70,977.12 × 17,728.57
  4. Step 4: Simplify right side
    47,310.48x = 1,258,322,840.32
  5. Step 5: Solve for x
    x = 1,258,322,840.32/47,310.48
  6. Step 6: Final answer
    x = 26,597.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.