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Finding the Fourth Proportional to 30,045.70, 45,075.93 and 10,324.54

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Solution

The fourth proportional to 30,045.70, 45,075.93 and 10,324.54 is: 15,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.70 : 45,075.93 = 10,324.54 : x
  2. Step 2: Convert to fraction form
    30,045.70/45,075.93 = 10,324.54/x
  3. Step 3: Cross multiply
    30,045.70x = 45,075.93 × 10,324.54
  4. Step 4: Simplify right side
    30,045.70x = 465,388,242.32
  5. Step 5: Solve for x
    x = 465,388,242.32/30,045.70
  6. Step 6: Final answer
    x = 15,489.35

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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.