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Finding the Fourth Proportional to 30,804.96, 46,207.44 and 12,324

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Solution

The fourth proportional to 30,804.96, 46,207.44 and 12,324 is: 18,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.96 : 46,207.44 = 12,324 : x
  2. Step 2: Convert to fraction form
    30,804.96/46,207.44 = 12,324/x
  3. Step 3: Cross multiply
    30,804.96x = 46,207.44 × 12,324
  4. Step 4: Simplify right side
    30,804.96x = 569,460,490.56
  5. Step 5: Solve for x
    x = 569,460,490.56/30,804.96
  6. Step 6: Final answer
    x = 18,486.00

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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.