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Finding the Fourth Proportional to 29,488.72, 44,232 and 7,302.16

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Solution

The fourth proportional to 29,488.72, 44,232 and 7,302.16 is: 10,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488.72 : 44,232 = 7,302.16 : x
  2. Step 2: Convert to fraction form
    29,488.72/44,232 = 7,302.16/x
  3. Step 3: Cross multiply
    29,488.72x = 44,232 × 7,302.16
  4. Step 4: Simplify right side
    29,488.72x = 322,989,141.12
  5. Step 5: Solve for x
    x = 322,989,141.12/29,488.72
  6. Step 6: Final answer
    x = 10,952.97

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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.