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Finding the Fourth Proportional to 76,536.12, 105,619.14 and 42,543.75

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Solution

The fourth proportional to 76,536.12, 105,619.14 and 42,543.75 is: 58,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,536.12 : 105,619.14 = 42,543.75 : x
  2. Step 2: Convert to fraction form
    76,536.12/105,619.14 = 42,543.75/x
  3. Step 3: Cross multiply
    76,536.12x = 105,619.14 × 42,543.75
  4. Step 4: Simplify right side
    76,536.12x = 4,493,434,287.38
  5. Step 5: Solve for x
    x = 4,493,434,287.38/76,536.12
  6. Step 6: Final answer
    x = 58,709.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.