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Finding the Fourth Proportional to 44,424.84, 61,202.04 and 30,971.64

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Solution

The fourth proportional to 44,424.84, 61,202.04 and 30,971.64 is: 42,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,424.84 : 61,202.04 = 30,971.64 : x
  2. Step 2: Convert to fraction form
    44,424.84/61,202.04 = 30,971.64/x
  3. Step 3: Cross multiply
    44,424.84x = 61,202.04 × 30,971.64
  4. Step 4: Simplify right side
    44,424.84x = 1,895,527,550.15
  5. Step 5: Solve for x
    x = 1,895,527,550.15/44,424.84
  6. Step 6: Final answer
    x = 42,668.19

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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.