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Finding the Fourth Proportional to 47,792.56, 65,952.01 and 26,282.12

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Solution

The fourth proportional to 47,792.56, 65,952.01 and 26,282.12 is: 36,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.56 : 65,952.01 = 26,282.12 : x
  2. Step 2: Convert to fraction form
    47,792.56/65,952.01 = 26,282.12/x
  3. Step 3: Cross multiply
    47,792.56x = 65,952.01 × 26,282.12
  4. Step 4: Simplify right side
    47,792.56x = 1,733,358,740.24
  5. Step 5: Solve for x
    x = 1,733,358,740.24/47,792.56
  6. Step 6: Final answer
    x = 36,268.38

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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.