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Finding the Fourth Proportional to 32,745.94, 49,077.80 and 14,003.93

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Solution

The fourth proportional to 32,745.94, 49,077.80 and 14,003.93 is: 20,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.94 : 49,077.80 = 14,003.93 : x
  2. Step 2: Convert to fraction form
    32,745.94/49,077.80 = 14,003.93/x
  3. Step 3: Cross multiply
    32,745.94x = 49,077.80 × 14,003.93
  4. Step 4: Simplify right side
    32,745.94x = 687,281,830.37
  5. Step 5: Solve for x
    x = 687,281,830.37/32,745.94
  6. Step 6: Final answer
    x = 20,988.31

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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.