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Finding the Fourth Proportional to 76,093.28, 105,011.81 and 42,101.21

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Solution

The fourth proportional to 76,093.28, 105,011.81 and 42,101.21 is: 58,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,093.28 : 105,011.81 = 42,101.21 : x
  2. Step 2: Convert to fraction form
    76,093.28/105,011.81 = 42,101.21/x
  3. Step 3: Cross multiply
    76,093.28x = 105,011.81 × 42,101.21
  4. Step 4: Simplify right side
    76,093.28x = 4,421,124,633.07
  5. Step 5: Solve for x
    x = 4,421,124,633.07/76,093.28
  6. Step 6: Final answer
    x = 58,101.38

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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.