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Finding the Fourth Proportional to 38,185.80, 57,202.02 and 19,465.08

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Solution

The fourth proportional to 38,185.80, 57,202.02 and 19,465.08 is: 29,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185.80 : 57,202.02 = 19,465.08 : x
  2. Step 2: Convert to fraction form
    38,185.80/57,202.02 = 19,465.08/x
  3. Step 3: Cross multiply
    38,185.80x = 57,202.02 × 19,465.08
  4. Step 4: Simplify right side
    38,185.80x = 1,113,441,895.46
  5. Step 5: Solve for x
    x = 1,113,441,895.46/38,185.80
  6. Step 6: Final answer
    x = 29,158.53

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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.