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Finding the Fourth Proportional to 42,562.64, 58,736.04 and 23,698.64

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Solution

The fourth proportional to 42,562.64, 58,736.04 and 23,698.64 is: 32,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,562.64 : 58,736.04 = 23,698.64 : x
  2. Step 2: Convert to fraction form
    42,562.64/58,736.04 = 23,698.64/x
  3. Step 3: Cross multiply
    42,562.64x = 58,736.04 × 23,698.64
  4. Step 4: Simplify right side
    42,562.64x = 1,391,964,266.99
  5. Step 5: Solve for x
    x = 1,391,964,266.99/42,562.64
  6. Step 6: Final answer
    x = 32,703.90

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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.