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Finding the Fourth Proportional to 29,969.25, 44,956.04 and 11,501.25

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Solution

The fourth proportional to 29,969.25, 44,956.04 and 11,501.25 is: 17,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.25 : 44,956.04 = 11,501.25 : x
  2. Step 2: Convert to fraction form
    29,969.25/44,956.04 = 11,501.25/x
  3. Step 3: Cross multiply
    29,969.25x = 44,956.04 × 11,501.25
  4. Step 4: Simplify right side
    29,969.25x = 517,050,597.54
  5. Step 5: Solve for x
    x = 517,050,597.54/29,969.25
  6. Step 6: Final answer
    x = 17,252.70

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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.