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Finding the Fourth Proportional to 48,855.99, 73,407 and 31,094.82

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Solution

The fourth proportional to 48,855.99, 73,407 and 31,094.82 is: 46,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,855.99 : 73,407 = 31,094.82 : x
  2. Step 2: Convert to fraction form
    48,855.99/73,407 = 31,094.82/x
  3. Step 3: Cross multiply
    48,855.99x = 73,407 × 31,094.82
  4. Step 4: Simplify right side
    48,855.99x = 2,282,577,084.71
  5. Step 5: Solve for x
    x = 2,282,577,084.71/48,855.99
  6. Step 6: Final answer
    x = 46,720.52

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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.