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Finding the Fourth Proportional to 30,775.16, 46,146.33 and 15,969.17

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Solution

The fourth proportional to 30,775.16, 46,146.33 and 15,969.17 is: 23,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.16 : 46,146.33 = 15,969.17 : x
  2. Step 2: Convert to fraction form
    30,775.16/46,146.33 = 15,969.17/x
  3. Step 3: Cross multiply
    30,775.16x = 46,146.33 × 15,969.17
  4. Step 4: Simplify right side
    30,775.16x = 736,918,357.91
  5. Step 5: Solve for x
    x = 736,918,357.91/30,775.16
  6. Step 6: Final answer
    x = 23,945.24

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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.