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Finding the Fourth Proportional to 32,827.98, 45,303.15 and 17,923.98

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Solution

The fourth proportional to 32,827.98, 45,303.15 and 17,923.98 is: 24,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.98 : 45,303.15 = 17,923.98 : x
  2. Step 2: Convert to fraction form
    32,827.98/45,303.15 = 17,923.98/x
  3. Step 3: Cross multiply
    32,827.98x = 45,303.15 × 17,923.98
  4. Step 4: Simplify right side
    32,827.98x = 812,012,754.54
  5. Step 5: Solve for x
    x = 812,012,754.54/32,827.98
  6. Step 6: Final answer
    x = 24,735.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.