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Finding the Fourth Proportional to 82,533.62, 113,783.54 and 56,691.38

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Solution

The fourth proportional to 82,533.62, 113,783.54 and 56,691.38 is: 78,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.62 : 113,783.54 = 56,691.38 : x
  2. Step 2: Convert to fraction form
    82,533.62/113,783.54 = 56,691.38/x
  3. Step 3: Cross multiply
    82,533.62x = 113,783.54 × 56,691.38
  4. Step 4: Simplify right side
    82,533.62x = 6,450,545,903.89
  5. Step 5: Solve for x
    x = 6,450,545,903.89/82,533.62
  6. Step 6: Final answer
    x = 78,156.59

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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.