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Finding the Fourth Proportional to 32,601.95, 48,905.63 and 10,418.48

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Solution

The fourth proportional to 32,601.95, 48,905.63 and 10,418.48 is: 15,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.95 : 48,905.63 = 10,418.48 : x
  2. Step 2: Convert to fraction form
    32,601.95/48,905.63 = 10,418.48/x
  3. Step 3: Cross multiply
    32,601.95x = 48,905.63 × 10,418.48
  4. Step 4: Simplify right side
    32,601.95x = 509,522,328.04
  5. Step 5: Solve for x
    x = 509,522,328.04/32,601.95
  6. Step 6: Final answer
    x = 15,628.58

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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.