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Finding the Fourth Proportional to 29,355.50, 44,024 and 9,629.46

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Solution

The fourth proportional to 29,355.50, 44,024 and 9,629.46 is: 14,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,355.50 : 44,024 = 9,629.46 : x
  2. Step 2: Convert to fraction form
    29,355.50/44,024 = 9,629.46/x
  3. Step 3: Cross multiply
    29,355.50x = 44,024 × 9,629.46
  4. Step 4: Simplify right side
    29,355.50x = 423,927,347.04
  5. Step 5: Solve for x
    x = 423,927,347.04/29,355.50
  6. Step 6: Final answer
    x = 14,441.16

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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.