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Finding the Fourth Proportional to 38,513.40, 57,770.10 and 30,737.40

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Solution

The fourth proportional to 38,513.40, 57,770.10 and 30,737.40 is: 46,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.40 : 57,770.10 = 30,737.40 : x
  2. Step 2: Convert to fraction form
    38,513.40/57,770.10 = 30,737.40/x
  3. Step 3: Cross multiply
    38,513.40x = 57,770.10 × 30,737.40
  4. Step 4: Simplify right side
    38,513.40x = 1,775,702,671.74
  5. Step 5: Solve for x
    x = 1,775,702,671.74/38,513.40
  6. Step 6: Final answer
    x = 46,106.10

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1.5x scale

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.