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Finding the Fourth Proportional to 47,301.42, 65,276.47 and 25,791

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Solution

The fourth proportional to 47,301.42, 65,276.47 and 25,791 is: 35,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301.42 : 65,276.47 = 25,791 : x
  2. Step 2: Convert to fraction form
    47,301.42/65,276.47 = 25,791/x
  3. Step 3: Cross multiply
    47,301.42x = 65,276.47 × 25,791
  4. Step 4: Simplify right side
    47,301.42x = 1,683,545,437.77
  5. Step 5: Solve for x
    x = 1,683,545,437.77/47,301.42
  6. Step 6: Final answer
    x = 35,591.86

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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.