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Finding the Fourth Proportional to 76,243.02, 105,215.37 and 42,709.02

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Solution

The fourth proportional to 76,243.02, 105,215.37 and 42,709.02 is: 58,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,243.02 : 105,215.37 = 42,709.02 : x
  2. Step 2: Convert to fraction form
    76,243.02/105,215.37 = 42,709.02/x
  3. Step 3: Cross multiply
    76,243.02x = 105,215.37 × 42,709.02
  4. Step 4: Simplify right side
    76,243.02x = 4,493,645,341.64
  5. Step 5: Solve for x
    x = 4,493,645,341.64/76,243.02
  6. Step 6: Final answer
    x = 58,938.45

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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.