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Finding the Fourth Proportional to 76,573.32, 114,723.66 and 65,365.64

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Solution

The fourth proportional to 76,573.32, 114,723.66 and 65,365.64 is: 97,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,573.32 : 114,723.66 = 65,365.64 : x
  2. Step 2: Convert to fraction form
    76,573.32/114,723.66 = 65,365.64/x
  3. Step 3: Cross multiply
    76,573.32x = 114,723.66 × 65,365.64
  4. Step 4: Simplify right side
    76,573.32x = 7,498,985,459.04
  5. Step 5: Solve for x
    x = 7,498,985,459.04/76,573.32
  6. Step 6: Final answer
    x = 97,932.09

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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.