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Finding the Fourth Proportional to 33,421.64, 46,122.62 and 18,315

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Solution

The fourth proportional to 33,421.64, 46,122.62 and 18,315 is: 25,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421.64 : 46,122.62 = 18,315 : x
  2. Step 2: Convert to fraction form
    33,421.64/46,122.62 = 18,315/x
  3. Step 3: Cross multiply
    33,421.64x = 46,122.62 × 18,315
  4. Step 4: Simplify right side
    33,421.64x = 844,735,693.73
  5. Step 5: Solve for x
    x = 844,735,693.73/33,421.64
  6. Step 6: Final answer
    x = 25,275.12

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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.