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Finding the Fourth Proportional to 76,402.52, 114,468.10 and 65,195.48

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Solution

The fourth proportional to 76,402.52, 114,468.10 and 65,195.48 is: 97,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,402.52 : 114,468.10 = 65,195.48 : x
  2. Step 2: Convert to fraction form
    76,402.52/114,468.10 = 65,195.48/x
  3. Step 3: Cross multiply
    76,402.52x = 114,468.10 × 65,195.48
  4. Step 4: Simplify right side
    76,402.52x = 7,462,802,724.19
  5. Step 5: Solve for x
    x = 7,462,802,724.19/76,402.52
  6. Step 6: Final answer
    x = 97,677.44

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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.