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Finding the Fourth Proportional to 50,887.84, 76,312.86 and 17,599

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Solution

The fourth proportional to 50,887.84, 76,312.86 and 17,599 is: 26,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,887.84 : 76,312.86 = 17,599 : x
  2. Step 2: Convert to fraction form
    50,887.84/76,312.86 = 17,599/x
  3. Step 3: Cross multiply
    50,887.84x = 76,312.86 × 17,599
  4. Step 4: Simplify right side
    50,887.84x = 1,343,030,023.14
  5. Step 5: Solve for x
    x = 1,343,030,023.14/50,887.84
  6. Step 6: Final answer
    x = 26,391.96

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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.