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Finding the Fourth Proportional to 76,146, 105,066.90 and 49,284.78

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Solution

The fourth proportional to 76,146, 105,066.90 and 49,284.78 is: 68,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,146 : 105,066.90 = 49,284.78 : x
  2. Step 2: Convert to fraction form
    76,146/105,066.90 = 49,284.78/x
  3. Step 3: Cross multiply
    76,146x = 105,066.90 × 49,284.78
  4. Step 4: Simplify right side
    76,146x = 5,178,199,051.78
  5. Step 5: Solve for x
    x = 5,178,199,051.78/76,146
  6. Step 6: Final answer
    x = 68,003.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.