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Finding the Fourth Proportional to 74,038.50, 102,174.61 and 40,505.22

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Solution

The fourth proportional to 74,038.50, 102,174.61 and 40,505.22 is: 55,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,038.50 : 102,174.61 = 40,505.22 : x
  2. Step 2: Convert to fraction form
    74,038.50/102,174.61 = 40,505.22/x
  3. Step 3: Cross multiply
    74,038.50x = 102,174.61 × 40,505.22
  4. Step 4: Simplify right side
    74,038.50x = 4,138,605,056.46
  5. Step 5: Solve for x
    x = 4,138,605,056.46/74,038.50
  6. Step 6: Final answer
    x = 55,898.01

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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.