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Finding the Fourth Proportional to 30,902.70, 46,326.54 and 11,176.87

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Solution

The fourth proportional to 30,902.70, 46,326.54 and 11,176.87 is: 16,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.70 : 46,326.54 = 11,176.87 : x
  2. Step 2: Convert to fraction form
    30,902.70/46,326.54 = 11,176.87/x
  3. Step 3: Cross multiply
    30,902.70x = 46,326.54 × 11,176.87
  4. Step 4: Simplify right side
    30,902.70x = 517,785,715.13
  5. Step 5: Solve for x
    x = 517,785,715.13/30,902.70
  6. Step 6: Final answer
    x = 16,755.36

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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.