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Finding the Fourth Proportional to 30,887.61, 46,324.31 and 18,411.15

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Solution

The fourth proportional to 30,887.61, 46,324.31 and 18,411.15 is: 27,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,887.61 : 46,324.31 = 18,411.15 : x
  2. Step 2: Convert to fraction form
    30,887.61/46,324.31 = 18,411.15/x
  3. Step 3: Cross multiply
    30,887.61x = 46,324.31 × 18,411.15
  4. Step 4: Simplify right side
    30,887.61x = 852,883,728.00
  5. Step 5: Solve for x
    x = 852,883,728.00/30,887.61
  6. Step 6: Final answer
    x = 27,612.49

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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.