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Finding the Fourth Proportional to 19,536.32, 29,304.08 and 4,745.32

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Solution

The fourth proportional to 19,536.32, 29,304.08 and 4,745.32 is: 7,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.32 : 29,304.08 = 4,745.32 : x
  2. Step 2: Convert to fraction form
    19,536.32/29,304.08 = 4,745.32/x
  3. Step 3: Cross multiply
    19,536.32x = 29,304.08 × 4,745.32
  4. Step 4: Simplify right side
    19,536.32x = 139,057,157.71
  5. Step 5: Solve for x
    x = 139,057,157.71/19,536.32
  6. Step 6: Final answer
    x = 7,117.88

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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.