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Finding the Fourth Proportional to 29,771.34, 44,658 and 14,972.16

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Solution

The fourth proportional to 29,771.34, 44,658 and 14,972.16 is: 22,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.34 : 44,658 = 14,972.16 : x
  2. Step 2: Convert to fraction form
    29,771.34/44,658 = 14,972.16/x
  3. Step 3: Cross multiply
    29,771.34x = 44,658 × 14,972.16
  4. Step 4: Simplify right side
    29,771.34x = 668,626,721.28
  5. Step 5: Solve for x
    x = 668,626,721.28/29,771.34
  6. Step 6: Final answer
    x = 22,458.74

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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.