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Finding the Fourth Proportional to 47,586.32, 65,578.72 and 34,134.30

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Solution

The fourth proportional to 47,586.32, 65,578.72 and 34,134.30 is: 47,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,586.32 : 65,578.72 = 34,134.30 : x
  2. Step 2: Convert to fraction form
    47,586.32/65,578.72 = 34,134.30/x
  3. Step 3: Cross multiply
    47,586.32x = 65,578.72 × 34,134.30
  4. Step 4: Simplify right side
    47,586.32x = 2,238,483,702.10
  5. Step 5: Solve for x
    x = 2,238,483,702.10/47,586.32
  6. Step 6: Final answer
    x = 47,040.49

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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.