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Finding the Fourth Proportional to 42,164.48, 58,188.12 and 23,045

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Solution

The fourth proportional to 42,164.48, 58,188.12 and 23,045 is: 31,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,164.48 : 58,188.12 = 23,045 : x
  2. Step 2: Convert to fraction form
    42,164.48/58,188.12 = 23,045/x
  3. Step 3: Cross multiply
    42,164.48x = 58,188.12 × 23,045
  4. Step 4: Simplify right side
    42,164.48x = 1,340,945,225.40
  5. Step 5: Solve for x
    x = 1,340,945,225.40/42,164.48
  6. Step 6: Final answer
    x = 31,802.72

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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.