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Finding the Fourth Proportional to 96,117.60, 143,992.80 and 51,729.60

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Solution

The fourth proportional to 96,117.60, 143,992.80 and 51,729.60 is: 77,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,117.60 : 143,992.80 = 51,729.60 : x
  2. Step 2: Convert to fraction form
    96,117.60/143,992.80 = 51,729.60/x
  3. Step 3: Cross multiply
    96,117.60x = 143,992.80 × 51,729.60
  4. Step 4: Simplify right side
    96,117.60x = 7,448,689,946.88
  5. Step 5: Solve for x
    x = 7,448,689,946.88/96,117.60
  6. Step 6: Final answer
    x = 77,495.59

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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.