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Finding the Fourth Proportional to 35,470.20, 53,205.30 and 17,038.20

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Solution

The fourth proportional to 35,470.20, 53,205.30 and 17,038.20 is: 25,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,470.20 : 53,205.30 = 17,038.20 : x
  2. Step 2: Convert to fraction form
    35,470.20/53,205.30 = 17,038.20/x
  3. Step 3: Cross multiply
    35,470.20x = 53,205.30 × 17,038.20
  4. Step 4: Simplify right side
    35,470.20x = 906,522,542.46
  5. Step 5: Solve for x
    x = 906,522,542.46/35,470.20
  6. Step 6: Final answer
    x = 25,557.30

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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.