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Finding the Fourth Proportional to 10,050.50, 15,075.78 and 3,125

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Solution

The fourth proportional to 10,050.50, 15,075.78 and 3,125 is: 4,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.50 : 15,075.78 = 3,125 : x
  2. Step 2: Convert to fraction form
    10,050.50/15,075.78 = 3,125/x
  3. Step 3: Cross multiply
    10,050.50x = 15,075.78 × 3,125
  4. Step 4: Simplify right side
    10,050.50x = 47,111,812.50
  5. Step 5: Solve for x
    x = 47,111,812.50/10,050.50
  6. Step 6: Final answer
    x = 4,687.51

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