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Finding the Fourth Proportional to 47,095.76, 64,989 and 25,874

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Solution

The fourth proportional to 47,095.76, 64,989 and 25,874 is: 35,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,095.76 : 64,989 = 25,874 : x
  2. Step 2: Convert to fraction form
    47,095.76/64,989 = 25,874/x
  3. Step 3: Cross multiply
    47,095.76x = 64,989 × 25,874
  4. Step 4: Simplify right side
    47,095.76x = 1,681,525,386
  5. Step 5: Solve for x
    x = 1,681,525,386/47,095.76
  6. Step 6: Final answer
    x = 35,704.39

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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.