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Finding the Fourth Proportional to 38,565.56, 57,782.32 and 21,047.69

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Solution

The fourth proportional to 38,565.56, 57,782.32 and 21,047.69 is: 31,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.56 : 57,782.32 = 21,047.69 : x
  2. Step 2: Convert to fraction form
    38,565.56/57,782.32 = 21,047.69/x
  3. Step 3: Cross multiply
    38,565.56x = 57,782.32 × 21,047.69
  4. Step 4: Simplify right side
    38,565.56x = 1,216,184,358.84
  5. Step 5: Solve for x
    x = 1,216,184,358.84/38,565.56
  6. Step 6: Final answer
    x = 31,535.50

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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.