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Finding the Fourth Proportional to 42,004.96, 57,913.04 and 34,423.36

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Solution

The fourth proportional to 42,004.96, 57,913.04 and 34,423.36 is: 47,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,004.96 : 57,913.04 = 34,423.36 : x
  2. Step 2: Convert to fraction form
    42,004.96/57,913.04 = 34,423.36/x
  3. Step 3: Cross multiply
    42,004.96x = 57,913.04 × 34,423.36
  4. Step 4: Simplify right side
    42,004.96x = 1,993,561,424.61
  5. Step 5: Solve for x
    x = 1,993,561,424.61/42,004.96
  6. Step 6: Final answer
    x = 47,460.14

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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.