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Finding the Fourth Proportional to 42,317.56, 58,400.22 and 23,455

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Solution

The fourth proportional to 42,317.56, 58,400.22 and 23,455 is: 32,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,317.56 : 58,400.22 = 23,455 : x
  2. Step 2: Convert to fraction form
    42,317.56/58,400.22 = 23,455/x
  3. Step 3: Cross multiply
    42,317.56x = 58,400.22 × 23,455
  4. Step 4: Simplify right side
    42,317.56x = 1,369,777,160.10
  5. Step 5: Solve for x
    x = 1,369,777,160.10/42,317.56
  6. Step 6: Final answer
    x = 32,369.00

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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.