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Finding the Fourth Proportional to 30,855.66, 46,283.50 and 7,482.10

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Solution

The fourth proportional to 30,855.66, 46,283.50 and 7,482.10 is: 11,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.66 : 46,283.50 = 7,482.10 : x
  2. Step 2: Convert to fraction form
    30,855.66/46,283.50 = 7,482.10/x
  3. Step 3: Cross multiply
    30,855.66x = 46,283.50 × 7,482.10
  4. Step 4: Simplify right side
    30,855.66x = 346,297,775.35
  5. Step 5: Solve for x
    x = 346,297,775.35/30,855.66
  6. Step 6: Final answer
    x = 11,223.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.