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Finding the Fourth Proportional to 30,984.40, 46,476.28 and 13,466.80

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Solution

The fourth proportional to 30,984.40, 46,476.28 and 13,466.80 is: 20,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.40 : 46,476.28 = 13,466.80 : x
  2. Step 2: Convert to fraction form
    30,984.40/46,476.28 = 13,466.80/x
  3. Step 3: Cross multiply
    30,984.40x = 46,476.28 × 13,466.80
  4. Step 4: Simplify right side
    30,984.40x = 625,886,767.50
  5. Step 5: Solve for x
    x = 625,886,767.50/30,984.40
  6. Step 6: Final answer
    x = 20,200.06

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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.