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Finding the Fourth Proportional to 32,978.14, 49,483.45 and 15,444.94

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Solution

The fourth proportional to 32,978.14, 49,483.45 and 15,444.94 is: 23,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.14 : 49,483.45 = 15,444.94 : x
  2. Step 2: Convert to fraction form
    32,978.14/49,483.45 = 15,444.94/x
  3. Step 3: Cross multiply
    32,978.14x = 49,483.45 × 15,444.94
  4. Step 4: Simplify right side
    32,978.14x = 764,268,916.24
  5. Step 5: Solve for x
    x = 764,268,916.24/32,978.14
  6. Step 6: Final answer
    x = 23,175.02

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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.