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Finding the Fourth Proportional to 30,924.48, 46,386.24 and 12,456

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Solution

The fourth proportional to 30,924.48, 46,386.24 and 12,456 is: 18,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.48 : 46,386.24 = 12,456 : x
  2. Step 2: Convert to fraction form
    30,924.48/46,386.24 = 12,456/x
  3. Step 3: Cross multiply
    30,924.48x = 46,386.24 × 12,456
  4. Step 4: Simplify right side
    30,924.48x = 577,787,005.44
  5. Step 5: Solve for x
    x = 577,787,005.44/30,924.48
  6. Step 6: Final answer
    x = 18,683.81

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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.