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Finding the Fourth Proportional to 76,320.48, 105,323.03 and 42,329.49

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Solution

The fourth proportional to 76,320.48, 105,323.03 and 42,329.49 is: 58,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320.48 : 105,323.03 = 42,329.49 : x
  2. Step 2: Convert to fraction form
    76,320.48/105,323.03 = 42,329.49/x
  3. Step 3: Cross multiply
    76,320.48x = 105,323.03 × 42,329.49
  4. Step 4: Simplify right side
    76,320.48x = 4,458,269,935.38
  5. Step 5: Solve for x
    x = 4,458,269,935.38/76,320.48
  6. Step 6: Final answer
    x = 58,415.12

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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.