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Finding the Fourth Proportional to 30,797.40, 46,196.10 and 10,020.90

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Solution

The fourth proportional to 30,797.40, 46,196.10 and 10,020.90 is: 15,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.40 : 46,196.10 = 10,020.90 : x
  2. Step 2: Convert to fraction form
    30,797.40/46,196.10 = 10,020.90/x
  3. Step 3: Cross multiply
    30,797.40x = 46,196.10 × 10,020.90
  4. Step 4: Simplify right side
    30,797.40x = 462,926,498.49
  5. Step 5: Solve for x
    x = 462,926,498.49/30,797.40
  6. Step 6: Final answer
    x = 15,031.35

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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.