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Finding the Fourth Proportional to 46,958.80, 64,803.36 and 25,738

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Solution

The fourth proportional to 46,958.80, 64,803.36 and 25,738 is: 35,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,958.80 : 64,803.36 = 25,738 : x
  2. Step 2: Convert to fraction form
    46,958.80/64,803.36 = 25,738/x
  3. Step 3: Cross multiply
    46,958.80x = 64,803.36 × 25,738
  4. Step 4: Simplify right side
    46,958.80x = 1,667,908,879.68
  5. Step 5: Solve for x
    x = 1,667,908,879.68/46,958.80
  6. Step 6: Final answer
    x = 35,518.56

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