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Finding the Fourth Proportional to 47,812.32, 65,983.44 and 26,592

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Solution

The fourth proportional to 47,812.32, 65,983.44 and 26,592 is: 36,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812.32 : 65,983.44 = 26,592 : x
  2. Step 2: Convert to fraction form
    47,812.32/65,983.44 = 26,592/x
  3. Step 3: Cross multiply
    47,812.32x = 65,983.44 × 26,592
  4. Step 4: Simplify right side
    47,812.32x = 1,754,631,636.48
  5. Step 5: Solve for x
    x = 1,754,631,636.48/47,812.32
  6. Step 6: Final answer
    x = 36,698.32

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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.