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Finding the Fourth Proportional to 33,937.20, 46,838.16 and 20,510.40

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Solution

The fourth proportional to 33,937.20, 46,838.16 and 20,510.40 is: 28,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,937.20 : 46,838.16 = 20,510.40 : x
  2. Step 2: Convert to fraction form
    33,937.20/46,838.16 = 20,510.40/x
  3. Step 3: Cross multiply
    33,937.20x = 46,838.16 × 20,510.40
  4. Step 4: Simplify right side
    33,937.20x = 960,669,396.86
  5. Step 5: Solve for x
    x = 960,669,396.86/33,937.20
  6. Step 6: Final answer
    x = 28,307.27

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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.