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Finding the Fourth Proportional to 35,410.40, 53,141.20 and 14,648.80

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Solution

The fourth proportional to 35,410.40, 53,141.20 and 14,648.80 is: 21,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,410.40 : 53,141.20 = 14,648.80 : x
  2. Step 2: Convert to fraction form
    35,410.40/53,141.20 = 14,648.80/x
  3. Step 3: Cross multiply
    35,410.40x = 53,141.20 × 14,648.80
  4. Step 4: Simplify right side
    35,410.40x = 778,454,810.56
  5. Step 5: Solve for x
    x = 778,454,810.56/35,410.40
  6. Step 6: Final answer
    x = 21,983.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.