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Finding the Fourth Proportional to 63,144, 94,705.47 and 31,520.52

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Solution

The fourth proportional to 63,144, 94,705.47 and 31,520.52 is: 47,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,144 : 94,705.47 = 31,520.52 : x
  2. Step 2: Convert to fraction form
    63,144/94,705.47 = 31,520.52/x
  3. Step 3: Cross multiply
    63,144x = 94,705.47 × 31,520.52
  4. Step 4: Simplify right side
    63,144x = 2,985,165,661.24
  5. Step 5: Solve for x
    x = 2,985,165,661.24/63,144
  6. Step 6: Final answer
    x = 47,275.52

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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.