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Finding the Fourth Proportional to 174,396, 261,596.46 and 49,737

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Solution

The fourth proportional to 174,396, 261,596.46 and 49,737 is: 74,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,396 : 261,596.46 = 49,737 : x
  2. Step 2: Convert to fraction form
    174,396/261,596.46 = 49,737/x
  3. Step 3: Cross multiply
    174,396x = 261,596.46 × 49,737
  4. Step 4: Simplify right side
    174,396x = 13,011,023,131.02
  5. Step 5: Solve for x
    x = 13,011,023,131.02/174,396
  6. Step 6: Final answer
    x = 74,606.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.