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Finding the Fourth Proportional to 56,009.44, 84,013.80 and 14,456.80

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Solution

The fourth proportional to 56,009.44, 84,013.80 and 14,456.80 is: 21,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,009.44 : 84,013.80 = 14,456.80 : x
  2. Step 2: Convert to fraction form
    56,009.44/84,013.80 = 14,456.80/x
  3. Step 3: Cross multiply
    56,009.44x = 84,013.80 × 14,456.80
  4. Step 4: Simplify right side
    56,009.44x = 1,214,570,703.84
  5. Step 5: Solve for x
    x = 1,214,570,703.84/56,009.44
  6. Step 6: Final answer
    x = 21,685.11

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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.