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Finding the Fourth Proportional to 76,154.44, 105,089.28 and 41,698.24

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Solution

The fourth proportional to 76,154.44, 105,089.28 and 41,698.24 is: 57,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,154.44 : 105,089.28 = 41,698.24 : x
  2. Step 2: Convert to fraction form
    76,154.44/105,089.28 = 41,698.24/x
  3. Step 3: Cross multiply
    76,154.44x = 105,089.28 × 41,698.24
  4. Step 4: Simplify right side
    76,154.44x = 4,382,038,018.87
  5. Step 5: Solve for x
    x = 4,382,038,018.87/76,154.44
  6. Step 6: Final answer
    x = 57,541.46

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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.