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Finding the Fourth Proportional to 32,676.01, 49,009.38 and 10,486.51

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Solution

The fourth proportional to 32,676.01, 49,009.38 and 10,486.51 is: 15,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.01 : 49,009.38 = 10,486.51 : x
  2. Step 2: Convert to fraction form
    32,676.01/49,009.38 = 10,486.51/x
  3. Step 3: Cross multiply
    32,676.01x = 49,009.38 × 10,486.51
  4. Step 4: Simplify right side
    32,676.01x = 513,937,301.03
  5. Step 5: Solve for x
    x = 513,937,301.03/32,676.01
  6. Step 6: Final answer
    x = 15,728.28

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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.