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Finding the Fourth Proportional to 82,359.18, 113,570.82 and 70,461.90

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Solution

The fourth proportional to 82,359.18, 113,570.82 and 70,461.90 is: 97,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359.18 : 113,570.82 = 70,461.90 : x
  2. Step 2: Convert to fraction form
    82,359.18/113,570.82 = 70,461.90/x
  3. Step 3: Cross multiply
    82,359.18x = 113,570.82 × 70,461.90
  4. Step 4: Simplify right side
    82,359.18x = 8,002,415,693.38
  5. Step 5: Solve for x
    x = 8,002,415,693.38/82,359.18
  6. Step 6: Final answer
    x = 97,164.83

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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.