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Finding the Fourth Proportional to 47,602.16, 71,418.17 and 28,647.48

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Solution

The fourth proportional to 47,602.16, 71,418.17 and 28,647.48 is: 42,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,602.16 : 71,418.17 = 28,647.48 : x
  2. Step 2: Convert to fraction form
    47,602.16/71,418.17 = 28,647.48/x
  3. Step 3: Cross multiply
    47,602.16x = 71,418.17 × 28,647.48
  4. Step 4: Simplify right side
    47,602.16x = 2,045,950,096.38
  5. Step 5: Solve for x
    x = 2,045,950,096.38/47,602.16
  6. Step 6: Final answer
    x = 42,980.19

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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.