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Finding the Fourth Proportional to 42,505.04, 58,656.64 and 23,642

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Solution

The fourth proportional to 42,505.04, 58,656.64 and 23,642 is: 32,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,505.04 : 58,656.64 = 23,642 : x
  2. Step 2: Convert to fraction form
    42,505.04/58,656.64 = 23,642/x
  3. Step 3: Cross multiply
    42,505.04x = 58,656.64 × 23,642
  4. Step 4: Simplify right side
    42,505.04x = 1,386,760,282.88
  5. Step 5: Solve for x
    x = 1,386,760,282.88/42,505.04
  6. Step 6: Final answer
    x = 32,625.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.