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Finding the Fourth Proportional to 57,570.16, 79,458 and 32,419.84

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Solution

The fourth proportional to 57,570.16, 79,458 and 32,419.84 is: 44,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570.16 : 79,458 = 32,419.84 : x
  2. Step 2: Convert to fraction form
    57,570.16/79,458 = 32,419.84/x
  3. Step 3: Cross multiply
    57,570.16x = 79,458 × 32,419.84
  4. Step 4: Simplify right side
    57,570.16x = 2,576,015,646.72
  5. Step 5: Solve for x
    x = 2,576,015,646.72/57,570.16
  6. Step 6: Final answer
    x = 44,745.67

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1.5x scale

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.