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Finding the Fourth Proportional to 74,573.72, 102,912.17 and 40,582.47

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Solution

The fourth proportional to 74,573.72, 102,912.17 and 40,582.47 is: 56,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,573.72 : 102,912.17 = 40,582.47 : x
  2. Step 2: Convert to fraction form
    74,573.72/102,912.17 = 40,582.47/x
  3. Step 3: Cross multiply
    74,573.72x = 102,912.17 × 40,582.47
  4. Step 4: Simplify right side
    74,573.72x = 4,176,429,848.75
  5. Step 5: Solve for x
    x = 4,176,429,848.75/74,573.72
  6. Step 6: Final answer
    x = 56,004.05

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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.