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Finding the Fourth Proportional to 76,041.65, 104,938.16 and 42,052.43

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Solution

The fourth proportional to 76,041.65, 104,938.16 and 42,052.43 is: 58,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,041.65 : 104,938.16 = 42,052.43 : x
  2. Step 2: Convert to fraction form
    76,041.65/104,938.16 = 42,052.43/x
  3. Step 3: Cross multiply
    76,041.65x = 104,938.16 × 42,052.43
  4. Step 4: Simplify right side
    76,041.65x = 4,412,903,892.78
  5. Step 5: Solve for x
    x = 4,412,903,892.78/76,041.65
  6. Step 6: Final answer
    x = 58,032.73

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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.