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Finding the Fourth Proportional to 30,075.84, 45,098.46 and 10,078.38

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Solution

The fourth proportional to 30,075.84, 45,098.46 and 10,078.38 is: 15,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.84 : 45,098.46 = 10,078.38 : x
  2. Step 2: Convert to fraction form
    30,075.84/45,098.46 = 10,078.38/x
  3. Step 3: Cross multiply
    30,075.84x = 45,098.46 × 10,078.38
  4. Step 4: Simplify right side
    30,075.84x = 454,519,417.29
  5. Step 5: Solve for x
    x = 454,519,417.29/30,075.84
  6. Step 6: Final answer
    x = 15,112.44

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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.