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Finding the Fourth Proportional to 34,271.20, 51,406.80 and 9,315.10

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Solution

The fourth proportional to 34,271.20, 51,406.80 and 9,315.10 is: 13,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,271.20 : 51,406.80 = 9,315.10 : x
  2. Step 2: Convert to fraction form
    34,271.20/51,406.80 = 9,315.10/x
  3. Step 3: Cross multiply
    34,271.20x = 51,406.80 × 9,315.10
  4. Step 4: Simplify right side
    34,271.20x = 478,859,482.68
  5. Step 5: Solve for x
    x = 478,859,482.68/34,271.20
  6. Step 6: Final answer
    x = 13,972.65

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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.