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Finding the Fourth Proportional to 29,570.49, 44,362.80 and 9,849.21

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Solution

The fourth proportional to 29,570.49, 44,362.80 and 9,849.21 is: 14,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570.49 : 44,362.80 = 9,849.21 : x
  2. Step 2: Convert to fraction form
    29,570.49/44,362.80 = 9,849.21/x
  3. Step 3: Cross multiply
    29,570.49x = 44,362.80 × 9,849.21
  4. Step 4: Simplify right side
    29,570.49x = 436,938,533.39
  5. Step 5: Solve for x
    x = 436,938,533.39/29,570.49
  6. Step 6: Final answer
    x = 14,776.17

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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.