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Finding the Fourth Proportional to 51,636.88, 77,458.20 and 14,698

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Solution

The fourth proportional to 51,636.88, 77,458.20 and 14,698 is: 22,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,636.88 : 77,458.20 = 14,698 : x
  2. Step 2: Convert to fraction form
    51,636.88/77,458.20 = 14,698/x
  3. Step 3: Cross multiply
    51,636.88x = 77,458.20 × 14,698
  4. Step 4: Simplify right side
    51,636.88x = 1,138,480,623.60
  5. Step 5: Solve for x
    x = 1,138,480,623.60/51,636.88
  6. Step 6: Final answer
    x = 22,047.82

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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.