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Finding the Fourth Proportional to 47,337.16, 65,601.43 and 46,669

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Solution

The fourth proportional to 47,337.16, 65,601.43 and 46,669 is: 64,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,337.16 : 65,601.43 = 46,669 : x
  2. Step 2: Convert to fraction form
    47,337.16/65,601.43 = 46,669/x
  3. Step 3: Cross multiply
    47,337.16x = 65,601.43 × 46,669
  4. Step 4: Simplify right side
    47,337.16x = 3,061,553,136.67
  5. Step 5: Solve for x
    x = 3,061,553,136.67/47,337.16
  6. Step 6: Final answer
    x = 64,675.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.