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Finding the Fourth Proportional to 76,574.16, 114,939 and 54,412.56

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Solution

The fourth proportional to 76,574.16, 114,939 and 54,412.56 is: 81,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574.16 : 114,939 = 54,412.56 : x
  2. Step 2: Convert to fraction form
    76,574.16/114,939 = 54,412.56/x
  3. Step 3: Cross multiply
    76,574.16x = 114,939 × 54,412.56
  4. Step 4: Simplify right side
    76,574.16x = 6,254,125,233.84
  5. Step 5: Solve for x
    x = 6,254,125,233.84/76,574.16
  6. Step 6: Final answer
    x = 81,674.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.