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Finding the Fourth Proportional to 63,048.96, 94,631.76 and 31,906.08

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Solution

The fourth proportional to 63,048.96, 94,631.76 and 31,906.08 is: 47,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,048.96 : 94,631.76 = 31,906.08 : x
  2. Step 2: Convert to fraction form
    63,048.96/94,631.76 = 31,906.08/x
  3. Step 3: Cross multiply
    63,048.96x = 94,631.76 × 31,906.08
  4. Step 4: Simplify right side
    63,048.96x = 3,019,328,505.10
  5. Step 5: Solve for x
    x = 3,019,328,505.10/63,048.96
  6. Step 6: Final answer
    x = 47,888.63

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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.