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Finding the Fourth Proportional to 32,928.81, 49,391.47 and 9,237.99

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Solution

The fourth proportional to 32,928.81, 49,391.47 and 9,237.99 is: 13,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928.81 : 49,391.47 = 9,237.99 : x
  2. Step 2: Convert to fraction form
    32,928.81/49,391.47 = 9,237.99/x
  3. Step 3: Cross multiply
    32,928.81x = 49,391.47 × 9,237.99
  4. Step 4: Simplify right side
    32,928.81x = 456,277,905.95
  5. Step 5: Solve for x
    x = 456,277,905.95/32,928.81
  6. Step 6: Final answer
    x = 13,856.50

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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.