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Finding the Fourth Proportional to 33,830.16, 46,686.39 and 21,914.24

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Solution

The fourth proportional to 33,830.16, 46,686.39 and 21,914.24 is: 30,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.16 : 46,686.39 = 21,914.24 : x
  2. Step 2: Convert to fraction form
    33,830.16/46,686.39 = 21,914.24/x
  3. Step 3: Cross multiply
    33,830.16x = 46,686.39 × 21,914.24
  4. Step 4: Simplify right side
    33,830.16x = 1,023,096,521.76
  5. Step 5: Solve for x
    x = 1,023,096,521.76/33,830.16
  6. Step 6: Final answer
    x = 30,242.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.