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Finding the Fourth Proportional to 46,374.98, 69,554.38 and 21,412.90

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Solution

The fourth proportional to 46,374.98, 69,554.38 and 21,412.90 is: 32,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,374.98 : 69,554.38 = 21,412.90 : x
  2. Step 2: Convert to fraction form
    46,374.98/69,554.38 = 21,412.90/x
  3. Step 3: Cross multiply
    46,374.98x = 69,554.38 × 21,412.90
  4. Step 4: Simplify right side
    46,374.98x = 1,489,360,983.50
  5. Step 5: Solve for x
    x = 1,489,360,983.50/46,374.98
  6. Step 6: Final answer
    x = 32,115.61

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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.