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Finding the Fourth Proportional to 59,481, 82,083.78 and 32,985

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Solution

The fourth proportional to 59,481, 82,083.78 and 32,985 is: 45,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,481 : 82,083.78 = 32,985 : x
  2. Step 2: Convert to fraction form
    59,481/82,083.78 = 32,985/x
  3. Step 3: Cross multiply
    59,481x = 82,083.78 × 32,985
  4. Step 4: Simplify right side
    59,481x = 2,707,533,483.30
  5. Step 5: Solve for x
    x = 2,707,533,483.30/59,481
  6. Step 6: Final answer
    x = 45,519.30

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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.