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Finding the Fourth Proportional to 29,738.40, 44,616.85 and 9,748.06

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Solution

The fourth proportional to 29,738.40, 44,616.85 and 9,748.06 is: 14,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.40 : 44,616.85 = 9,748.06 : x
  2. Step 2: Convert to fraction form
    29,738.40/44,616.85 = 9,748.06/x
  3. Step 3: Cross multiply
    29,738.40x = 44,616.85 × 9,748.06
  4. Step 4: Simplify right side
    29,738.40x = 434,927,730.81
  5. Step 5: Solve for x
    x = 434,927,730.81/29,738.40
  6. Step 6: Final answer
    x = 14,625.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.