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Finding the Fourth Proportional to 46,647.34, 69,977.93 and 15,047.01

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Solution

The fourth proportional to 46,647.34, 69,977.93 and 15,047.01 is: 22,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647.34 : 69,977.93 = 15,047.01 : x
  2. Step 2: Convert to fraction form
    46,647.34/69,977.93 = 15,047.01/x
  3. Step 3: Cross multiply
    46,647.34x = 69,977.93 × 15,047.01
  4. Step 4: Simplify right side
    46,647.34x = 1,052,958,537.25
  5. Step 5: Solve for x
    x = 1,052,958,537.25/46,647.34
  6. Step 6: Final answer
    x = 22,572.75

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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.