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Finding the Fourth Proportional to 47,079.76, 64,971.54 and 25,859

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Solution

The fourth proportional to 47,079.76, 64,971.54 and 25,859 is: 35,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,079.76 : 64,971.54 = 25,859 : x
  2. Step 2: Convert to fraction form
    47,079.76/64,971.54 = 25,859/x
  3. Step 3: Cross multiply
    47,079.76x = 64,971.54 × 25,859
  4. Step 4: Simplify right side
    47,079.76x = 1,680,099,052.86
  5. Step 5: Solve for x
    x = 1,680,099,052.86/47,079.76
  6. Step 6: Final answer
    x = 35,686.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.