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Finding the Fourth Proportional to 74,214.74, 102,415.55 and 40,223.30

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Solution

The fourth proportional to 74,214.74, 102,415.55 and 40,223.30 is: 55,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214.74 : 102,415.55 = 40,223.30 : x
  2. Step 2: Convert to fraction form
    74,214.74/102,415.55 = 40,223.30/x
  3. Step 3: Cross multiply
    74,214.74x = 102,415.55 × 40,223.30
  4. Step 4: Simplify right side
    74,214.74x = 4,119,490,679.12
  5. Step 5: Solve for x
    x = 4,119,490,679.12/74,214.74
  6. Step 6: Final answer
    x = 55,507.72

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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.