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Finding the Fourth Proportional to 74,214, 102,415.56 and 40,223.04

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Solution

The fourth proportional to 74,214, 102,415.56 and 40,223.04 is: 55,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214 : 102,415.56 = 40,223.04 : x
  2. Step 2: Convert to fraction form
    74,214/102,415.56 = 40,223.04/x
  3. Step 3: Cross multiply
    74,214x = 102,415.56 × 40,223.04
  4. Step 4: Simplify right side
    74,214x = 4,119,465,166.50
  5. Step 5: Solve for x
    x = 4,119,465,166.50/74,214
  6. Step 6: Final answer
    x = 55,507.93

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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.