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Finding the Fourth Proportional to 51,458.74, 77,188.11 and 14,522.74

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Solution

The fourth proportional to 51,458.74, 77,188.11 and 14,522.74 is: 21,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458.74 : 77,188.11 = 14,522.74 : x
  2. Step 2: Convert to fraction form
    51,458.74/77,188.11 = 14,522.74/x
  3. Step 3: Cross multiply
    51,458.74x = 77,188.11 × 14,522.74
  4. Step 4: Simplify right side
    51,458.74x = 1,120,982,852.62
  5. Step 5: Solve for x
    x = 1,120,982,852.62/51,458.74
  6. Step 6: Final answer
    x = 21,784.11

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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.