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Finding the Fourth Proportional to 76,321.80, 105,330.38 and 42,341.23

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Solution

The fourth proportional to 76,321.80, 105,330.38 and 42,341.23 is: 58,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321.80 : 105,330.38 = 42,341.23 : x
  2. Step 2: Convert to fraction form
    76,321.80/105,330.38 = 42,341.23/x
  3. Step 3: Cross multiply
    76,321.80x = 105,330.38 × 42,341.23
  4. Step 4: Simplify right side
    76,321.80x = 4,459,817,107.21
  5. Step 5: Solve for x
    x = 4,459,817,107.21/76,321.80
  6. Step 6: Final answer
    x = 58,434.38

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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.