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Finding the Fourth Proportional to 31,075.21, 46,604.30 and 8,580.50

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Solution

The fourth proportional to 31,075.21, 46,604.30 and 8,580.50 is: 12,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.21 : 46,604.30 = 8,580.50 : x
  2. Step 2: Convert to fraction form
    31,075.21/46,604.30 = 8,580.50/x
  3. Step 3: Cross multiply
    31,075.21x = 46,604.30 × 8,580.50
  4. Step 4: Simplify right side
    31,075.21x = 399,888,094.99
  5. Step 5: Solve for x
    x = 399,888,094.99/31,075.21
  6. Step 6: Final answer
    x = 12,868.40

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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.