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Finding the Fourth Proportional to 30,851.84, 46,278 and 10,075.40

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Solution

The fourth proportional to 30,851.84, 46,278 and 10,075.40 is: 15,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.84 : 46,278 = 10,075.40 : x
  2. Step 2: Convert to fraction form
    30,851.84/46,278 = 10,075.40/x
  3. Step 3: Cross multiply
    30,851.84x = 46,278 × 10,075.40
  4. Step 4: Simplify right side
    30,851.84x = 466,269,361.20
  5. Step 5: Solve for x
    x = 466,269,361.20/30,851.84
  6. Step 6: Final answer
    x = 15,113.18

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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.