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Finding the Fourth Proportional to 30,929.98, 46,372.25 and 9,857.90

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Solution

The fourth proportional to 30,929.98, 46,372.25 and 9,857.90 is: 14,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.98 : 46,372.25 = 9,857.90 : x
  2. Step 2: Convert to fraction form
    30,929.98/46,372.25 = 9,857.90/x
  3. Step 3: Cross multiply
    30,929.98x = 46,372.25 × 9,857.90
  4. Step 4: Simplify right side
    30,929.98x = 457,133,003.28
  5. Step 5: Solve for x
    x = 457,133,003.28/30,929.98
  6. Step 6: Final answer
    x = 14,779.61

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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.