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Finding the Fourth Proportional to 46,509.72, 69,783.21 and 16,929.60

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Solution

The fourth proportional to 46,509.72, 69,783.21 and 16,929.60 is: 25,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.72 : 69,783.21 = 16,929.60 : x
  2. Step 2: Convert to fraction form
    46,509.72/69,783.21 = 16,929.60/x
  3. Step 3: Cross multiply
    46,509.72x = 69,783.21 × 16,929.60
  4. Step 4: Simplify right side
    46,509.72x = 1,181,401,832.02
  5. Step 5: Solve for x
    x = 1,181,401,832.02/46,509.72
  6. Step 6: Final answer
    x = 25,401.18

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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.