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Finding the Fourth Proportional to 32,246.79, 44,509.86 and 19,500

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Solution

The fourth proportional to 32,246.79, 44,509.86 and 19,500 is: 26,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,246.79 : 44,509.86 = 19,500 : x
  2. Step 2: Convert to fraction form
    32,246.79/44,509.86 = 19,500/x
  3. Step 3: Cross multiply
    32,246.79x = 44,509.86 × 19,500
  4. Step 4: Simplify right side
    32,246.79x = 867,942,270
  5. Step 5: Solve for x
    x = 867,942,270/32,246.79
  6. Step 6: Final answer
    x = 26,915.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.