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Finding the Fourth Proportional to 74,071.68, 102,219.72 and 42,242.46

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Solution

The fourth proportional to 74,071.68, 102,219.72 and 42,242.46 is: 58,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,071.68 : 102,219.72 = 42,242.46 : x
  2. Step 2: Convert to fraction form
    74,071.68/102,219.72 = 42,242.46/x
  3. Step 3: Cross multiply
    74,071.68x = 102,219.72 × 42,242.46
  4. Step 4: Simplify right side
    74,071.68x = 4,318,012,433.31
  5. Step 5: Solve for x
    x = 4,318,012,433.31/74,071.68
  6. Step 6: Final answer
    x = 58,295.05

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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.