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Finding the Fourth Proportional to 101,827.98, 152,743.10 and 30,751.22

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Solution

The fourth proportional to 101,827.98, 152,743.10 and 30,751.22 is: 46,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,827.98 : 152,743.10 = 30,751.22 : x
  2. Step 2: Convert to fraction form
    101,827.98/152,743.10 = 30,751.22/x
  3. Step 3: Cross multiply
    101,827.98x = 152,743.10 × 30,751.22
  4. Step 4: Simplify right side
    101,827.98x = 4,697,036,899.68
  5. Step 5: Solve for x
    x = 4,697,036,899.68/101,827.98
  6. Step 6: Final answer
    x = 46,127.17

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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.