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Finding the Fourth Proportional to 30,917.78, 46,376.71 and 7,544.10

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Solution

The fourth proportional to 30,917.78, 46,376.71 and 7,544.10 is: 11,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.78 : 46,376.71 = 7,544.10 : x
  2. Step 2: Convert to fraction form
    30,917.78/46,376.71 = 7,544.10/x
  3. Step 3: Cross multiply
    30,917.78x = 46,376.71 × 7,544.10
  4. Step 4: Simplify right side
    30,917.78x = 349,870,537.91
  5. Step 5: Solve for x
    x = 349,870,537.91/30,917.78
  6. Step 6: Final answer
    x = 11,316.16

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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.