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Finding the Fourth Proportional to 76,405.66, 114,653.10 and 32,029

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Solution

The fourth proportional to 76,405.66, 114,653.10 and 32,029 is: 48,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405.66 : 114,653.10 = 32,029 : x
  2. Step 2: Convert to fraction form
    76,405.66/114,653.10 = 32,029/x
  3. Step 3: Cross multiply
    76,405.66x = 114,653.10 × 32,029
  4. Step 4: Simplify right side
    76,405.66x = 3,672,224,139.90
  5. Step 5: Solve for x
    x = 3,672,224,139.90/76,405.66
  6. Step 6: Final answer
    x = 48,062.20

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Why These Related Problems?

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