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Finding the Fourth Proportional to 74,024, 102,154.56 and 40,490.72

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Solution

The fourth proportional to 74,024, 102,154.56 and 40,490.72 is: 55,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,024 : 102,154.56 = 40,490.72 : x
  2. Step 2: Convert to fraction form
    74,024/102,154.56 = 40,490.72/x
  3. Step 3: Cross multiply
    74,024x = 102,154.56 × 40,490.72
  4. Step 4: Simplify right side
    74,024x = 4,136,311,685.68
  5. Step 5: Solve for x
    x = 4,136,311,685.68/74,024
  6. Step 6: Final answer
    x = 55,877.98

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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.