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Finding the Fourth Proportional to 59,637, 82,316.34 and 39,765

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Solution

The fourth proportional to 59,637, 82,316.34 and 39,765 is: 54,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,637 : 82,316.34 = 39,765 : x
  2. Step 2: Convert to fraction form
    59,637/82,316.34 = 39,765/x
  3. Step 3: Cross multiply
    59,637x = 82,316.34 × 39,765
  4. Step 4: Simplify right side
    59,637x = 3,273,309,260.10
  5. Step 5: Solve for x
    x = 3,273,309,260.10/59,637
  6. Step 6: Final answer
    x = 54,887.22

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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.