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Finding the Fourth Proportional to 46,575.28, 69,840.24 and 15,400

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Solution

The fourth proportional to 46,575.28, 69,840.24 and 15,400 is: 23,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,575.28 : 69,840.24 = 15,400 : x
  2. Step 2: Convert to fraction form
    46,575.28/69,840.24 = 15,400/x
  3. Step 3: Cross multiply
    46,575.28x = 69,840.24 × 15,400
  4. Step 4: Simplify right side
    46,575.28x = 1,075,539,696
  5. Step 5: Solve for x
    x = 1,075,539,696/46,575.28
  6. Step 6: Final answer
    x = 23,092.50

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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.