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Finding the Fourth Proportional to 32,362, 48,539.76 and 23,614

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Solution

The fourth proportional to 32,362, 48,539.76 and 23,614 is: 35,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362 : 48,539.76 = 23,614 : x
  2. Step 2: Convert to fraction form
    32,362/48,539.76 = 23,614/x
  3. Step 3: Cross multiply
    32,362x = 48,539.76 × 23,614
  4. Step 4: Simplify right side
    32,362x = 1,146,217,892.64
  5. Step 5: Solve for x
    x = 1,146,217,892.64/32,362
  6. Step 6: Final answer
    x = 35,418.64

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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.