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Finding the Fourth Proportional to 46,359.06, 69,507.87 and 16,773

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Solution

The fourth proportional to 46,359.06, 69,507.87 and 16,773 is: 25,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359.06 : 69,507.87 = 16,773 : x
  2. Step 2: Convert to fraction form
    46,359.06/69,507.87 = 16,773/x
  3. Step 3: Cross multiply
    46,359.06x = 69,507.87 × 16,773
  4. Step 4: Simplify right side
    46,359.06x = 1,165,855,503.51
  5. Step 5: Solve for x
    x = 1,165,855,503.51/46,359.06
  6. Step 6: Final answer
    x = 25,148.39

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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.