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Finding the Fourth Proportional to 30,676.88, 46,025.04 and 9,902

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Solution

The fourth proportional to 30,676.88, 46,025.04 and 9,902 is: 14,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.88 : 46,025.04 = 9,902 : x
  2. Step 2: Convert to fraction form
    30,676.88/46,025.04 = 9,902/x
  3. Step 3: Cross multiply
    30,676.88x = 46,025.04 × 9,902
  4. Step 4: Simplify right side
    30,676.88x = 455,739,946.08
  5. Step 5: Solve for x
    x = 455,739,946.08/30,676.88
  6. Step 6: Final answer
    x = 14,856.14

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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.