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Finding the Fourth Proportional to 53,263.44, 73,508.04 and 30,906

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Solution

The fourth proportional to 53,263.44, 73,508.04 and 30,906 is: 42,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,263.44 : 73,508.04 = 30,906 : x
  2. Step 2: Convert to fraction form
    53,263.44/73,508.04 = 30,906/x
  3. Step 3: Cross multiply
    53,263.44x = 73,508.04 × 30,906
  4. Step 4: Simplify right side
    53,263.44x = 2,271,839,484.24
  5. Step 5: Solve for x
    x = 2,271,839,484.24/53,263.44
  6. Step 6: Final answer
    x = 42,652.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.