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Finding the Fourth Proportional to 50,713.91, 76,074.98 and 17,434.00

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Solution

The fourth proportional to 50,713.91, 76,074.98 and 17,434.00 is: 26,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,713.91 : 76,074.98 = 17,434.00 : x
  2. Step 2: Convert to fraction form
    50,713.91/76,074.98 = 17,434.00/x
  3. Step 3: Cross multiply
    50,713.91x = 76,074.98 × 17,434.00
  4. Step 4: Simplify right side
    50,713.91x = 1,326,291,307.31
  5. Step 5: Solve for x
    x = 1,326,291,307.31/50,713.91
  6. Step 6: Final answer
    x = 26,152.41

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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.