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Finding the Fourth Proportional to 74,030.40, 102,161.12 and 40,496

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Solution

The fourth proportional to 74,030.40, 102,161.12 and 40,496 is: 55,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,030.40 : 102,161.12 = 40,496 : x
  2. Step 2: Convert to fraction form
    74,030.40/102,161.12 = 40,496/x
  3. Step 3: Cross multiply
    74,030.40x = 102,161.12 × 40,496
  4. Step 4: Simplify right side
    74,030.40x = 4,137,116,715.52
  5. Step 5: Solve for x
    x = 4,137,116,715.52/74,030.40
  6. Step 6: Final answer
    x = 55,884.02

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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.