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Finding the Fourth Proportional to 30,200.40, 45,256.05 and 21,897.90

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Solution

The fourth proportional to 30,200.40, 45,256.05 and 21,897.90 is: 32,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.40 : 45,256.05 = 21,897.90 : x
  2. Step 2: Convert to fraction form
    30,200.40/45,256.05 = 21,897.90/x
  3. Step 3: Cross multiply
    30,200.40x = 45,256.05 × 21,897.90
  4. Step 4: Simplify right side
    30,200.40x = 991,012,457.30
  5. Step 5: Solve for x
    x = 991,012,457.30/30,200.40
  6. Step 6: Final answer
    x = 32,814.55

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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.