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Finding the Fourth Proportional to 32,676.16, 49,014 and 9,302.56

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Solution

The fourth proportional to 32,676.16, 49,014 and 9,302.56 is: 13,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.16 : 49,014 = 9,302.56 : x
  2. Step 2: Convert to fraction form
    32,676.16/49,014 = 9,302.56/x
  3. Step 3: Cross multiply
    32,676.16x = 49,014 × 9,302.56
  4. Step 4: Simplify right side
    32,676.16x = 455,955,675.84
  5. Step 5: Solve for x
    x = 455,955,675.84/32,676.16
  6. Step 6: Final answer
    x = 13,953.77

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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.