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Finding the Fourth Proportional to 76,576.32, 105,680.16 and 43,044.48

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Solution

The fourth proportional to 76,576.32, 105,680.16 and 43,044.48 is: 59,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576.32 : 105,680.16 = 43,044.48 : x
  2. Step 2: Convert to fraction form
    76,576.32/105,680.16 = 43,044.48/x
  3. Step 3: Cross multiply
    76,576.32x = 105,680.16 × 43,044.48
  4. Step 4: Simplify right side
    76,576.32x = 4,548,947,533.52
  5. Step 5: Solve for x
    x = 4,548,947,533.52/76,576.32
  6. Step 6: Final answer
    x = 59,404.10

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1.5x scale

Why These Related Problems?

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