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Finding the Fourth Proportional to 30,072.34, 45,111.54 and 10,348.30

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Solution

The fourth proportional to 30,072.34, 45,111.54 and 10,348.30 is: 15,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.34 : 45,111.54 = 10,348.30 : x
  2. Step 2: Convert to fraction form
    30,072.34/45,111.54 = 10,348.30/x
  3. Step 3: Cross multiply
    30,072.34x = 45,111.54 × 10,348.30
  4. Step 4: Simplify right side
    30,072.34x = 466,827,523.82
  5. Step 5: Solve for x
    x = 466,827,523.82/30,072.34
  6. Step 6: Final answer
    x = 15,523.49

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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.