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Finding the Fourth Proportional to 47,783.99, 65,926.47 and 26,559.16

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Solution

The fourth proportional to 47,783.99, 65,926.47 and 26,559.16 is: 36,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.99 : 65,926.47 = 26,559.16 : x
  2. Step 2: Convert to fraction form
    47,783.99/65,926.47 = 26,559.16/x
  3. Step 3: Cross multiply
    47,783.99x = 65,926.47 × 26,559.16
  4. Step 4: Simplify right side
    47,783.99x = 1,750,951,664.97
  5. Step 5: Solve for x
    x = 1,750,951,664.97/47,783.99
  6. Step 6: Final answer
    x = 36,643.06

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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.