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Finding the Fourth Proportional to 103,168.64, 154,746.54 and 36,600

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Solution

The fourth proportional to 103,168.64, 154,746.54 and 36,600 is: 54,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,168.64 : 154,746.54 = 36,600 : x
  2. Step 2: Convert to fraction form
    103,168.64/154,746.54 = 36,600/x
  3. Step 3: Cross multiply
    103,168.64x = 154,746.54 × 36,600
  4. Step 4: Simplify right side
    103,168.64x = 5,663,723,364
  5. Step 5: Solve for x
    x = 5,663,723,364/103,168.64
  6. Step 6: Final answer
    x = 54,897.73

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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.