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Finding the Fourth Proportional to 44,546, 66,829.24 and 15,362

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Solution

The fourth proportional to 44,546, 66,829.24 and 15,362 is: 23,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,546 : 66,829.24 = 15,362 : x
  2. Step 2: Convert to fraction form
    44,546/66,829.24 = 15,362/x
  3. Step 3: Cross multiply
    44,546x = 66,829.24 × 15,362
  4. Step 4: Simplify right side
    44,546x = 1,026,630,784.88
  5. Step 5: Solve for x
    x = 1,026,630,784.88/44,546
  6. Step 6: Final answer
    x = 23,046.53

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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.