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Finding the Fourth Proportional to 47,696.47, 65,817.83 and 26,474.06

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Solution

The fourth proportional to 47,696.47, 65,817.83 and 26,474.06 is: 36,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.47 : 65,817.83 = 26,474.06 : x
  2. Step 2: Convert to fraction form
    47,696.47/65,817.83 = 26,474.06/x
  3. Step 3: Cross multiply
    47,696.47x = 65,817.83 × 26,474.06
  4. Step 4: Simplify right side
    47,696.47x = 1,742,465,411.22
  5. Step 5: Solve for x
    x = 1,742,465,411.22/47,696.47
  6. Step 6: Final answer
    x = 36,532.38

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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.