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Finding the Fourth Proportional to 172,807, 259,210.50 and 41,479

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Solution

The fourth proportional to 172,807, 259,210.50 and 41,479 is: 62,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,807 : 259,210.50 = 41,479 : x
  2. Step 2: Convert to fraction form
    172,807/259,210.50 = 41,479/x
  3. Step 3: Cross multiply
    172,807x = 259,210.50 × 41,479
  4. Step 4: Simplify right side
    172,807x = 10,751,792,329.50
  5. Step 5: Solve for x
    x = 10,751,792,329.50/172,807
  6. Step 6: Final answer
    x = 62,218.50

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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.