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Finding the Fourth Proportional to 74,032.90, 102,165.09 and 40,041.42

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Solution

The fourth proportional to 74,032.90, 102,165.09 and 40,041.42 is: 55,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,032.90 : 102,165.09 = 40,041.42 : x
  2. Step 2: Convert to fraction form
    74,032.90/102,165.09 = 40,041.42/x
  3. Step 3: Cross multiply
    74,032.90x = 102,165.09 × 40,041.42
  4. Step 4: Simplify right side
    74,032.90x = 4,090,835,278.03
  5. Step 5: Solve for x
    x = 4,090,835,278.03/74,032.90
  6. Step 6: Final answer
    x = 55,256.99

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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.