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Finding the Fourth Proportional to 46,008.50, 69,013.44 and 30,314.03

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Solution

The fourth proportional to 46,008.50, 69,013.44 and 30,314.03 is: 45,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008.50 : 69,013.44 = 30,314.03 : x
  2. Step 2: Convert to fraction form
    46,008.50/69,013.44 = 30,314.03/x
  3. Step 3: Cross multiply
    46,008.50x = 69,013.44 × 30,314.03
  4. Step 4: Simplify right side
    46,008.50x = 2,092,075,145.50
  5. Step 5: Solve for x
    x = 2,092,075,145.50/46,008.50
  6. Step 6: Final answer
    x = 45,471.50

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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.