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Finding the Fourth Proportional to 32,762.82, 49,051.80 and 31,713.06

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Solution

The fourth proportional to 32,762.82, 49,051.80 and 31,713.06 is: 47,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.82 : 49,051.80 = 31,713.06 : x
  2. Step 2: Convert to fraction form
    32,762.82/49,051.80 = 31,713.06/x
  3. Step 3: Cross multiply
    32,762.82x = 49,051.80 × 31,713.06
  4. Step 4: Simplify right side
    32,762.82x = 1,555,582,676.51
  5. Step 5: Solve for x
    x = 1,555,582,676.51/32,762.82
  6. Step 6: Final answer
    x = 47,480.12

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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.