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Finding the Fourth Proportional to 64,085.62, 96,113.64 and 19,097.82

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Solution

The fourth proportional to 64,085.62, 96,113.64 and 19,097.82 is: 28,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,085.62 : 96,113.64 = 19,097.82 : x
  2. Step 2: Convert to fraction form
    64,085.62/96,113.64 = 19,097.82/x
  3. Step 3: Cross multiply
    64,085.62x = 96,113.64 × 19,097.82
  4. Step 4: Simplify right side
    64,085.62x = 1,835,560,996.26
  5. Step 5: Solve for x
    x = 1,835,560,996.26/64,085.62
  6. Step 6: Final answer
    x = 28,642.32

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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.