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Finding the Fourth Proportional to 29,956.64, 44,948.04 and 11,501.60

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Solution

The fourth proportional to 29,956.64, 44,948.04 and 11,501.60 is: 17,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.64 : 44,948.04 = 11,501.60 : x
  2. Step 2: Convert to fraction form
    29,956.64/44,948.04 = 11,501.60/x
  3. Step 3: Cross multiply
    29,956.64x = 44,948.04 × 11,501.60
  4. Step 4: Simplify right side
    29,956.64x = 516,974,376.86
  5. Step 5: Solve for x
    x = 516,974,376.86/29,956.64
  6. Step 6: Final answer
    x = 17,257.42

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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.