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Finding the Fourth Proportional to 46,573.87, 69,839.37 and 14,978.08

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Solution

The fourth proportional to 46,573.87, 69,839.37 and 14,978.08 is: 22,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573.87 : 69,839.37 = 14,978.08 : x
  2. Step 2: Convert to fraction form
    46,573.87/69,839.37 = 14,978.08/x
  3. Step 3: Cross multiply
    46,573.87x = 69,839.37 × 14,978.08
  4. Step 4: Simplify right side
    46,573.87x = 1,046,059,671.01
  5. Step 5: Solve for x
    x = 1,046,059,671.01/46,573.87
  6. Step 6: Final answer
    x = 22,460.23

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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.