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Finding the Fourth Proportional to 30,758.49, 46,108.53 and 11,026.89

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Solution

The fourth proportional to 30,758.49, 46,108.53 and 11,026.89 is: 16,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.49 : 46,108.53 = 11,026.89 : x
  2. Step 2: Convert to fraction form
    30,758.49/46,108.53 = 11,026.89/x
  3. Step 3: Cross multiply
    30,758.49x = 46,108.53 × 11,026.89
  4. Step 4: Simplify right side
    30,758.49x = 508,433,688.37
  5. Step 5: Solve for x
    x = 508,433,688.37/30,758.49
  6. Step 6: Final answer
    x = 16,529.87

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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.