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Finding the Fourth Proportional to 42,050, 63,075 and 14,348

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Solution

The fourth proportional to 42,050, 63,075 and 14,348 is: 21,522

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,050 : 63,075 = 14,348 : x
  2. Step 2: Convert to fraction form
    42,050/63,075 = 14,348/x
  3. Step 3: Cross multiply
    42,050x = 63,075 × 14,348
  4. Step 4: Simplify right side
    42,050x = 905,000,100
  5. Step 5: Solve for x
    x = 905,000,100/42,050
  6. Step 6: Final answer
    x = 21,522

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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.