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Finding the Fourth Proportional to 46,509.54, 69,774.84 and 16,927.52

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Solution

The fourth proportional to 46,509.54, 69,774.84 and 16,927.52 is: 25,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.54 : 69,774.84 = 16,927.52 : x
  2. Step 2: Convert to fraction form
    46,509.54/69,774.84 = 16,927.52/x
  3. Step 3: Cross multiply
    46,509.54x = 69,774.84 × 16,927.52
  4. Step 4: Simplify right side
    46,509.54x = 1,181,114,999.60
  5. Step 5: Solve for x
    x = 1,181,114,999.60/46,509.54
  6. Step 6: Final answer
    x = 25,395.11

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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.