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Finding the Fourth Proportional to 59,250, 81,765 and 32,754

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Solution

The fourth proportional to 59,250, 81,765 and 32,754 is: 45,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,250 : 81,765 = 32,754 : x
  2. Step 2: Convert to fraction form
    59,250/81,765 = 32,754/x
  3. Step 3: Cross multiply
    59,250x = 81,765 × 32,754
  4. Step 4: Simplify right side
    59,250x = 2,678,130,810
  5. Step 5: Solve for x
    x = 2,678,130,810/59,250
  6. Step 6: Final answer
    x = 45,200.52

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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.