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Finding the Fourth Proportional to 74,038.72, 102,174.24 and 40,504

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Solution

The fourth proportional to 74,038.72, 102,174.24 and 40,504 is: 55,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,038.72 : 102,174.24 = 40,504 : x
  2. Step 2: Convert to fraction form
    74,038.72/102,174.24 = 40,504/x
  3. Step 3: Cross multiply
    74,038.72x = 102,174.24 × 40,504
  4. Step 4: Simplify right side
    74,038.72x = 4,138,465,416.96
  5. Step 5: Solve for x
    x = 4,138,465,416.96/74,038.72
  6. Step 6: Final answer
    x = 55,895.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.