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Finding the Fourth Proportional to 82,653.75, 114,062.58 and 44,928

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Solution

The fourth proportional to 82,653.75, 114,062.58 and 44,928 is: 62,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,653.75 : 114,062.58 = 44,928 : x
  2. Step 2: Convert to fraction form
    82,653.75/114,062.58 = 44,928/x
  3. Step 3: Cross multiply
    82,653.75x = 114,062.58 × 44,928
  4. Step 4: Simplify right side
    82,653.75x = 5,124,603,594.24
  5. Step 5: Solve for x
    x = 5,124,603,594.24/82,653.75
  6. Step 6: Final answer
    x = 62,000.86

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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.