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Finding the Fourth Proportional to 32,038.99, 48,059.82 and 10,993.50

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Solution

The fourth proportional to 32,038.99, 48,059.82 and 10,993.50 is: 16,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.99 : 48,059.82 = 10,993.50 : x
  2. Step 2: Convert to fraction form
    32,038.99/48,059.82 = 10,993.50/x
  3. Step 3: Cross multiply
    32,038.99x = 48,059.82 × 10,993.50
  4. Step 4: Simplify right side
    32,038.99x = 528,345,631.17
  5. Step 5: Solve for x
    x = 528,345,631.17/32,038.99
  6. Step 6: Final answer
    x = 16,490.71

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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.