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Finding the Fourth Proportional to 46,424, 64,034.34 and 31,110.98

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Solution

The fourth proportional to 46,424, 64,034.34 and 31,110.98 is: 42,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,424 : 64,034.34 = 31,110.98 : x
  2. Step 2: Convert to fraction form
    46,424/64,034.34 = 31,110.98/x
  3. Step 3: Cross multiply
    46,424x = 64,034.34 × 31,110.98
  4. Step 4: Simplify right side
    46,424x = 1,992,171,071.05
  5. Step 5: Solve for x
    x = 1,992,171,071.05/46,424
  6. Step 6: Final answer
    x = 42,912.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.