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Finding the Fourth Proportional to 35,858.72, 53,714.10 and 21,022.58

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Solution

The fourth proportional to 35,858.72, 53,714.10 and 21,022.58 is: 31,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,858.72 : 53,714.10 = 21,022.58 : x
  2. Step 2: Convert to fraction form
    35,858.72/53,714.10 = 21,022.58/x
  3. Step 3: Cross multiply
    35,858.72x = 53,714.10 × 21,022.58
  4. Step 4: Simplify right side
    35,858.72x = 1,129,208,964.38
  5. Step 5: Solve for x
    x = 1,129,208,964.38/35,858.72
  6. Step 6: Final answer
    x = 31,490.50

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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.