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Finding the Fourth Proportional to 38,008.32, 57,012.60 and 22,415

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Solution

The fourth proportional to 38,008.32, 57,012.60 and 22,415 is: 33,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.32 : 57,012.60 = 22,415 : x
  2. Step 2: Convert to fraction form
    38,008.32/57,012.60 = 22,415/x
  3. Step 3: Cross multiply
    38,008.32x = 57,012.60 × 22,415
  4. Step 4: Simplify right side
    38,008.32x = 1,277,937,429
  5. Step 5: Solve for x
    x = 1,277,937,429/38,008.32
  6. Step 6: Final answer
    x = 33,622.57

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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.