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Finding the Fourth Proportional to 47,699.53, 65,828.42 and 27,557.26

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Solution

The fourth proportional to 47,699.53, 65,828.42 and 27,557.26 is: 38,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699.53 : 65,828.42 = 27,557.26 : x
  2. Step 2: Convert to fraction form
    47,699.53/65,828.42 = 27,557.26/x
  3. Step 3: Cross multiply
    47,699.53x = 65,828.42 × 27,557.26
  4. Step 4: Simplify right side
    47,699.53x = 1,814,050,885.33
  5. Step 5: Solve for x
    x = 1,814,050,885.33/47,699.53
  6. Step 6: Final answer
    x = 38,030.79

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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.