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Finding the Fourth Proportional to 44,643.28, 61,605.32 and 24,770

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Solution

The fourth proportional to 44,643.28, 61,605.32 and 24,770 is: 34,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,643.28 : 61,605.32 = 24,770 : x
  2. Step 2: Convert to fraction form
    44,643.28/61,605.32 = 24,770/x
  3. Step 3: Cross multiply
    44,643.28x = 61,605.32 × 24,770
  4. Step 4: Simplify right side
    44,643.28x = 1,525,963,776.40
  5. Step 5: Solve for x
    x = 1,525,963,776.40/44,643.28
  6. Step 6: Final answer
    x = 34,181.26

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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.