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Finding the Fourth Proportional to 35,584.19, 49,101.10 and 20,471.08

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Solution

The fourth proportional to 35,584.19, 49,101.10 and 20,471.08 is: 28,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584.19 : 49,101.10 = 20,471.08 : x
  2. Step 2: Convert to fraction form
    35,584.19/49,101.10 = 20,471.08/x
  3. Step 3: Cross multiply
    35,584.19x = 49,101.10 × 20,471.08
  4. Step 4: Simplify right side
    35,584.19x = 1,005,152,372.26
  5. Step 5: Solve for x
    x = 1,005,152,372.26/35,584.19
  6. Step 6: Final answer
    x = 28,247.16

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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.