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Finding the Fourth Proportional to 32,053.39, 48,076.43 and 8,681.65

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Solution

The fourth proportional to 32,053.39, 48,076.43 and 8,681.65 is: 13,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.39 : 48,076.43 = 8,681.65 : x
  2. Step 2: Convert to fraction form
    32,053.39/48,076.43 = 8,681.65/x
  3. Step 3: Cross multiply
    32,053.39x = 48,076.43 × 8,681.65
  4. Step 4: Simplify right side
    32,053.39x = 417,382,738.51
  5. Step 5: Solve for x
    x = 417,382,738.51/32,053.39
  6. Step 6: Final answer
    x = 13,021.49

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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.