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Finding the Fourth Proportional to 46,305.84, 69,458.72 and 18,623.28

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Solution

The fourth proportional to 46,305.84, 69,458.72 and 18,623.28 is: 27,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,305.84 : 69,458.72 = 18,623.28 : x
  2. Step 2: Convert to fraction form
    46,305.84/69,458.72 = 18,623.28/x
  3. Step 3: Cross multiply
    46,305.84x = 69,458.72 × 18,623.28
  4. Step 4: Simplify right side
    46,305.84x = 1,293,549,191.00
  5. Step 5: Solve for x
    x = 1,293,549,191.00/46,305.84
  6. Step 6: Final answer
    x = 27,934.90

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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.