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Finding the Fourth Proportional to 46,411.74, 64,048.26 and 25,191

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Solution

The fourth proportional to 46,411.74, 64,048.26 and 25,191 is: 34,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,411.74 : 64,048.26 = 25,191 : x
  2. Step 2: Convert to fraction form
    46,411.74/64,048.26 = 25,191/x
  3. Step 3: Cross multiply
    46,411.74x = 64,048.26 × 25,191
  4. Step 4: Simplify right side
    46,411.74x = 1,613,439,717.66
  5. Step 5: Solve for x
    x = 1,613,439,717.66/46,411.74
  6. Step 6: Final answer
    x = 34,763.61

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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.