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Finding the Fourth Proportional to 27,094.50, 40,718.16 and 16,006.14

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Solution

The fourth proportional to 27,094.50, 40,718.16 and 16,006.14 is: 24,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094.50 : 40,718.16 = 16,006.14 : x
  2. Step 2: Convert to fraction form
    27,094.50/40,718.16 = 16,006.14/x
  3. Step 3: Cross multiply
    27,094.50x = 40,718.16 × 16,006.14
  4. Step 4: Simplify right side
    27,094.50x = 651,740,569.50
  5. Step 5: Solve for x
    x = 651,740,569.50/27,094.50
  6. Step 6: Final answer
    x = 24,054.35

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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.