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Finding the Fourth Proportional to 38,007.69, 57,014.42 and 13,047.54

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Solution

The fourth proportional to 38,007.69, 57,014.42 and 13,047.54 is: 19,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007.69 : 57,014.42 = 13,047.54 : x
  2. Step 2: Convert to fraction form
    38,007.69/57,014.42 = 13,047.54/x
  3. Step 3: Cross multiply
    38,007.69x = 57,014.42 × 13,047.54
  4. Step 4: Simplify right side
    38,007.69x = 743,897,925.53
  5. Step 5: Solve for x
    x = 743,897,925.53/38,007.69
  6. Step 6: Final answer
    x = 19,572.30

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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.