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Finding the Fourth Proportional to 47,117.68, 65,023.59 and 25,897.48

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Solution

The fourth proportional to 47,117.68, 65,023.59 and 25,897.48 is: 35,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,117.68 : 65,023.59 = 25,897.48 : x
  2. Step 2: Convert to fraction form
    47,117.68/65,023.59 = 25,897.48/x
  3. Step 3: Cross multiply
    47,117.68x = 65,023.59 × 25,897.48
  4. Step 4: Simplify right side
    47,117.68x = 1,683,947,121.55
  5. Step 5: Solve for x
    x = 1,683,947,121.55/47,117.68
  6. Step 6: Final answer
    x = 35,739.18

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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.