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Finding the Fourth Proportional to 76,145.38, 105,128.28 and 48,932.48

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Solution

The fourth proportional to 76,145.38, 105,128.28 and 48,932.48 is: 67,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,145.38 : 105,128.28 = 48,932.48 : x
  2. Step 2: Convert to fraction form
    76,145.38/105,128.28 = 48,932.48/x
  3. Step 3: Cross multiply
    76,145.38x = 105,128.28 × 48,932.48
  4. Step 4: Simplify right side
    76,145.38x = 5,144,187,458.53
  5. Step 5: Solve for x
    x = 5,144,187,458.53/76,145.38
  6. Step 6: Final answer
    x = 67,557.45

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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.