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Finding the Fourth Proportional to 29,574, 44,322.12 and 14,589.36

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Solution

The fourth proportional to 29,574, 44,322.12 and 14,589.36 is: 21,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574 : 44,322.12 = 14,589.36 : x
  2. Step 2: Convert to fraction form
    29,574/44,322.12 = 14,589.36/x
  3. Step 3: Cross multiply
    29,574x = 44,322.12 × 14,589.36
  4. Step 4: Simplify right side
    29,574x = 646,631,364.64
  5. Step 5: Solve for x
    x = 646,631,364.64/29,574
  6. Step 6: Final answer
    x = 21,864.86

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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.