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Finding the Fourth Proportional to 74,065.40, 102,209.70 and 40,531.40

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Solution

The fourth proportional to 74,065.40, 102,209.70 and 40,531.40 is: 55,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,065.40 : 102,209.70 = 40,531.40 : x
  2. Step 2: Convert to fraction form
    74,065.40/102,209.70 = 40,531.40/x
  3. Step 3: Cross multiply
    74,065.40x = 102,209.70 × 40,531.40
  4. Step 4: Simplify right side
    74,065.40x = 4,142,702,234.58
  5. Step 5: Solve for x
    x = 4,142,702,234.58/74,065.40
  6. Step 6: Final answer
    x = 55,933.03

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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.