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Finding the Fourth Proportional to 30,933.89, 46,380.02 and 14,284.74

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Solution

The fourth proportional to 30,933.89, 46,380.02 and 14,284.74 is: 21,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.89 : 46,380.02 = 14,284.74 : x
  2. Step 2: Convert to fraction form
    30,933.89/46,380.02 = 14,284.74/x
  3. Step 3: Cross multiply
    30,933.89x = 46,380.02 × 14,284.74
  4. Step 4: Simplify right side
    30,933.89x = 662,526,526.89
  5. Step 5: Solve for x
    x = 662,526,526.89/30,933.89
  6. Step 6: Final answer
    x = 21,417.50

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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.