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Finding the Fourth Proportional to 34,846.75, 48,089.10 and 18,931.22

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Solution

The fourth proportional to 34,846.75, 48,089.10 and 18,931.22 is: 26,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.75 : 48,089.10 = 18,931.22 : x
  2. Step 2: Convert to fraction form
    34,846.75/48,089.10 = 18,931.22/x
  3. Step 3: Cross multiply
    34,846.75x = 48,089.10 × 18,931.22
  4. Step 4: Simplify right side
    34,846.75x = 910,385,091.26
  5. Step 5: Solve for x
    x = 910,385,091.26/34,846.75
  6. Step 6: Final answer
    x = 26,125.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.