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Finding the Fourth Proportional to 38,782.50, 58,159.38 and 13,815.91

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Solution

The fourth proportional to 38,782.50, 58,159.38 and 13,815.91 is: 20,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.50 : 58,159.38 = 13,815.91 : x
  2. Step 2: Convert to fraction form
    38,782.50/58,159.38 = 13,815.91/x
  3. Step 3: Cross multiply
    38,782.50x = 58,159.38 × 13,815.91
  4. Step 4: Simplify right side
    38,782.50x = 803,524,690.66
  5. Step 5: Solve for x
    x = 803,524,690.66/38,782.50
  6. Step 6: Final answer
    x = 20,718.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.