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Finding the Fourth Proportional to 32,501.20, 48,751.80 and 30,314.20

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Solution

The fourth proportional to 32,501.20, 48,751.80 and 30,314.20 is: 45,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.20 : 48,751.80 = 30,314.20 : x
  2. Step 2: Convert to fraction form
    32,501.20/48,751.80 = 30,314.20/x
  3. Step 3: Cross multiply
    32,501.20x = 48,751.80 × 30,314.20
  4. Step 4: Simplify right side
    32,501.20x = 1,477,871,815.56
  5. Step 5: Solve for x
    x = 1,477,871,815.56/32,501.20
  6. Step 6: Final answer
    x = 45,471.30

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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.