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Finding the Fourth Proportional to 76,380, 105,405.12 and 42,846.72

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Solution

The fourth proportional to 76,380, 105,405.12 and 42,846.72 is: 59,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380 : 105,405.12 = 42,846.72 : x
  2. Step 2: Convert to fraction form
    76,380/105,405.12 = 42,846.72/x
  3. Step 3: Cross multiply
    76,380x = 105,405.12 × 42,846.72
  4. Step 4: Simplify right side
    76,380x = 4,516,263,663.21
  5. Step 5: Solve for x
    x = 4,516,263,663.21/76,380
  6. Step 6: Final answer
    x = 59,128.88

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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.