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Finding the Fourth Proportional to 46,552.67, 69,774.31 and 21,539.87

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Solution

The fourth proportional to 46,552.67, 69,774.31 and 21,539.87 is: 32,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,552.67 : 69,774.31 = 21,539.87 : x
  2. Step 2: Convert to fraction form
    46,552.67/69,774.31 = 21,539.87/x
  3. Step 3: Cross multiply
    46,552.67x = 69,774.31 × 21,539.87
  4. Step 4: Simplify right side
    46,552.67x = 1,502,929,566.74
  5. Step 5: Solve for x
    x = 1,502,929,566.74/46,552.67
  6. Step 6: Final answer
    x = 32,284.50

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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.