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Finding the Fourth Proportional to 82,930.99, 114,374.34 and 70,073.26

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Solution

The fourth proportional to 82,930.99, 114,374.34 and 70,073.26 is: 96,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,930.99 : 114,374.34 = 70,073.26 : x
  2. Step 2: Convert to fraction form
    82,930.99/114,374.34 = 70,073.26/x
  3. Step 3: Cross multiply
    82,930.99x = 114,374.34 × 70,073.26
  4. Step 4: Simplify right side
    82,930.99x = 8,014,582,864.15
  5. Step 5: Solve for x
    x = 8,014,582,864.15/82,930.99
  6. Step 6: Final answer
    x = 96,641.59

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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.