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Finding the Fourth Proportional to 30,765.68, 46,117.85 and 13,000.82

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Solution

The fourth proportional to 30,765.68, 46,117.85 and 13,000.82 is: 19,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.68 : 46,117.85 = 13,000.82 : x
  2. Step 2: Convert to fraction form
    30,765.68/46,117.85 = 13,000.82/x
  3. Step 3: Cross multiply
    30,765.68x = 46,117.85 × 13,000.82
  4. Step 4: Simplify right side
    30,765.68x = 599,569,571.04
  5. Step 5: Solve for x
    x = 599,569,571.04/30,765.68
  6. Step 6: Final answer
    x = 19,488.26

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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.