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Finding the Fourth Proportional to 35,978.30, 53,870.61 and 23,467.31

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Solution

The fourth proportional to 35,978.30, 53,870.61 and 23,467.31 is: 35,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.30 : 53,870.61 = 23,467.31 : x
  2. Step 2: Convert to fraction form
    35,978.30/53,870.61 = 23,467.31/x
  3. Step 3: Cross multiply
    35,978.30x = 53,870.61 × 23,467.31
  4. Step 4: Simplify right side
    35,978.30x = 1,264,198,304.76
  5. Step 5: Solve for x
    x = 1,264,198,304.76/35,978.30
  6. Step 6: Final answer
    x = 35,137.80

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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.