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Finding the Fourth Proportional to 174,375, 261,564.93 and 49,716

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Solution

The fourth proportional to 174,375, 261,564.93 and 49,716 is: 74,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,375 : 261,564.93 = 49,716 : x
  2. Step 2: Convert to fraction form
    174,375/261,564.93 = 49,716/x
  3. Step 3: Cross multiply
    174,375x = 261,564.93 × 49,716
  4. Step 4: Simplify right side
    174,375x = 13,003,962,059.88
  5. Step 5: Solve for x
    x = 13,003,962,059.88/174,375
  6. Step 6: Final answer
    x = 74,574.69

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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.