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Finding the Fourth Proportional to 35,480.19, 48,963 and 19,565.21

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Solution

The fourth proportional to 35,480.19, 48,963 and 19,565.21 is: 27,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,480.19 : 48,963 = 19,565.21 : x
  2. Step 2: Convert to fraction form
    35,480.19/48,963 = 19,565.21/x
  3. Step 3: Cross multiply
    35,480.19x = 48,963 × 19,565.21
  4. Step 4: Simplify right side
    35,480.19x = 957,971,377.23
  5. Step 5: Solve for x
    x = 957,971,377.23/35,480.19
  6. Step 6: Final answer
    x = 27,000.18

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Why These Related Problems?

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