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Finding the Fourth Proportional to 76,043.34, 104,935.62 and 42,049.86

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Solution

The fourth proportional to 76,043.34, 104,935.62 and 42,049.86 is: 58,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,043.34 : 104,935.62 = 42,049.86 : x
  2. Step 2: Convert to fraction form
    76,043.34/104,935.62 = 42,049.86/x
  3. Step 3: Cross multiply
    76,043.34x = 104,935.62 × 42,049.86
  4. Step 4: Simplify right side
    76,043.34x = 4,412,528,130.01
  5. Step 5: Solve for x
    x = 4,412,528,130.01/76,043.34
  6. Step 6: Final answer
    x = 58,026.49

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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.