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Finding the Fourth Proportional to 32,958.24, 49,444.65 and 9,586.50

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Solution

The fourth proportional to 32,958.24, 49,444.65 and 9,586.50 is: 14,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.24 : 49,444.65 = 9,586.50 : x
  2. Step 2: Convert to fraction form
    32,958.24/49,444.65 = 9,586.50/x
  3. Step 3: Cross multiply
    32,958.24x = 49,444.65 × 9,586.50
  4. Step 4: Simplify right side
    32,958.24x = 474,001,137.23
  5. Step 5: Solve for x
    x = 474,001,137.23/32,958.24
  6. Step 6: Final answer
    x = 14,381.87

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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.