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Finding the Fourth Proportional to 75,004.68, 103,460.58 and 51,142.44

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Solution

The fourth proportional to 75,004.68, 103,460.58 and 51,142.44 is: 70,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004.68 : 103,460.58 = 51,142.44 : x
  2. Step 2: Convert to fraction form
    75,004.68/103,460.58 = 51,142.44/x
  3. Step 3: Cross multiply
    75,004.68x = 103,460.58 × 51,142.44
  4. Step 4: Simplify right side
    75,004.68x = 5,291,226,505.02
  5. Step 5: Solve for x
    x = 5,291,226,505.02/75,004.68
  6. Step 6: Final answer
    x = 70,545.28

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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.