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Finding the Fourth Proportional to 51,844, 77,777.52 and 19,012

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Solution

The fourth proportional to 51,844, 77,777.52 and 19,012 is: 28,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844 : 77,777.52 = 19,012 : x
  2. Step 2: Convert to fraction form
    51,844/77,777.52 = 19,012/x
  3. Step 3: Cross multiply
    51,844x = 77,777.52 × 19,012
  4. Step 4: Simplify right side
    51,844x = 1,478,706,210.24
  5. Step 5: Solve for x
    x = 1,478,706,210.24/51,844
  6. Step 6: Final answer
    x = 28,522.22

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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.