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Finding the Fourth Proportional to 32,475, 44,815.50 and 18,327.54

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Solution

The fourth proportional to 32,475, 44,815.50 and 18,327.54 is: 25,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475 : 44,815.50 = 18,327.54 : x
  2. Step 2: Convert to fraction form
    32,475/44,815.50 = 18,327.54/x
  3. Step 3: Cross multiply
    32,475x = 44,815.50 × 18,327.54
  4. Step 4: Simplify right side
    32,475x = 821,357,868.87
  5. Step 5: Solve for x
    x = 821,357,868.87/32,475
  6. Step 6: Final answer
    x = 25,292.01

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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.