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Finding the Fourth Proportional to 74,608.16, 102,974.10 and 42,798.56

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Solution

The fourth proportional to 74,608.16, 102,974.10 and 42,798.56 is: 59,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,608.16 : 102,974.10 = 42,798.56 : x
  2. Step 2: Convert to fraction form
    74,608.16/102,974.10 = 42,798.56/x
  3. Step 3: Cross multiply
    74,608.16x = 102,974.10 × 42,798.56
  4. Step 4: Simplify right side
    74,608.16x = 4,407,143,197.30
  5. Step 5: Solve for x
    x = 4,407,143,197.30/74,608.16
  6. Step 6: Final answer
    x = 59,070.53

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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.