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Finding the Fourth Proportional to 30,255.20, 45,328.80 and 14,638.40

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Solution

The fourth proportional to 30,255.20, 45,328.80 and 14,638.40 is: 21,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255.20 : 45,328.80 = 14,638.40 : x
  2. Step 2: Convert to fraction form
    30,255.20/45,328.80 = 14,638.40/x
  3. Step 3: Cross multiply
    30,255.20x = 45,328.80 × 14,638.40
  4. Step 4: Simplify right side
    30,255.20x = 663,541,105.92
  5. Step 5: Solve for x
    x = 663,541,105.92/30,255.20
  6. Step 6: Final answer
    x = 21,931.47

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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.