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Finding the Fourth Proportional to 30,307.40, 45,461.12 and 8,120.21

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Solution

The fourth proportional to 30,307.40, 45,461.12 and 8,120.21 is: 12,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.40 : 45,461.12 = 8,120.21 : x
  2. Step 2: Convert to fraction form
    30,307.40/45,461.12 = 8,120.21/x
  3. Step 3: Cross multiply
    30,307.40x = 45,461.12 × 8,120.21
  4. Step 4: Simplify right side
    30,307.40x = 369,153,800.63
  5. Step 5: Solve for x
    x = 369,153,800.63/30,307.40
  6. Step 6: Final answer
    x = 12,180.32

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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.