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Finding the Fourth Proportional to 31,032.10, 46,548.78 and 7,658.74

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Solution

The fourth proportional to 31,032.10, 46,548.78 and 7,658.74 is: 11,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032.10 : 46,548.78 = 7,658.74 : x
  2. Step 2: Convert to fraction form
    31,032.10/46,548.78 = 7,658.74/x
  3. Step 3: Cross multiply
    31,032.10x = 46,548.78 × 7,658.74
  4. Step 4: Simplify right side
    31,032.10x = 356,505,003.34
  5. Step 5: Solve for x
    x = 356,505,003.34/31,032.10
  6. Step 6: Final answer
    x = 11,488.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.