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Finding the Fourth Proportional to 30,841.70, 46,153.20 and 21,000.20

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Solution

The fourth proportional to 30,841.70, 46,153.20 and 21,000.20 is: 31,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.70 : 46,153.20 = 21,000.20 : x
  2. Step 2: Convert to fraction form
    30,841.70/46,153.20 = 21,000.20/x
  3. Step 3: Cross multiply
    30,841.70x = 46,153.20 × 21,000.20
  4. Step 4: Simplify right side
    30,841.70x = 969,226,430.64
  5. Step 5: Solve for x
    x = 969,226,430.64/30,841.70
  6. Step 6: Final answer
    x = 31,425.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.