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Finding the Fourth Proportional to 46,330, 69,448.80 and 18,232.48

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Solution

The fourth proportional to 46,330, 69,448.80 and 18,232.48 is: 27,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,330 : 69,448.80 = 18,232.48 : x
  2. Step 2: Convert to fraction form
    46,330/69,448.80 = 18,232.48/x
  3. Step 3: Cross multiply
    46,330x = 69,448.80 × 18,232.48
  4. Step 4: Simplify right side
    46,330x = 1,266,223,857.02
  5. Step 5: Solve for x
    x = 1,266,223,857.02/46,330
  6. Step 6: Final answer
    x = 27,330.54

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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.