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Finding the Fourth Proportional to 42,638.74, 58,845.49 and 24,492.00

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Solution

The fourth proportional to 42,638.74, 58,845.49 and 24,492.00 is: 33,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,638.74 : 58,845.49 = 24,492.00 : x
  2. Step 2: Convert to fraction form
    42,638.74/58,845.49 = 24,492.00/x
  3. Step 3: Cross multiply
    42,638.74x = 58,845.49 × 24,492.00
  4. Step 4: Simplify right side
    42,638.74x = 1,441,243,900.52
  5. Step 5: Solve for x
    x = 1,441,243,900.52/42,638.74
  6. Step 6: Final answer
    x = 33,801.28

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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.