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Finding the Fourth Proportional to 30,751.02, 46,126.98 and 9,690.66

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Solution

The fourth proportional to 30,751.02, 46,126.98 and 9,690.66 is: 14,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.02 : 46,126.98 = 9,690.66 : x
  2. Step 2: Convert to fraction form
    30,751.02/46,126.98 = 9,690.66/x
  3. Step 3: Cross multiply
    30,751.02x = 46,126.98 × 9,690.66
  4. Step 4: Simplify right side
    30,751.02x = 447,000,880.01
  5. Step 5: Solve for x
    x = 447,000,880.01/30,751.02
  6. Step 6: Final answer
    x = 14,536.13

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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.