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Finding the Fourth Proportional to 57,564.40, 79,438.80 and 32,414.08

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Solution

The fourth proportional to 57,564.40, 79,438.80 and 32,414.08 is: 44,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,564.40 : 79,438.80 = 32,414.08 : x
  2. Step 2: Convert to fraction form
    57,564.40/79,438.80 = 32,414.08/x
  3. Step 3: Cross multiply
    57,564.40x = 79,438.80 × 32,414.08
  4. Step 4: Simplify right side
    57,564.40x = 2,574,935,618.30
  5. Step 5: Solve for x
    x = 2,574,935,618.30/57,564.40
  6. Step 6: Final answer
    x = 44,731.39

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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.