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Finding the Fourth Proportional to 59,852.34, 82,596.80 and 32,995.81

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Solution

The fourth proportional to 59,852.34, 82,596.80 and 32,995.81 is: 45,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,852.34 : 82,596.80 = 32,995.81 : x
  2. Step 2: Convert to fraction form
    59,852.34/82,596.80 = 32,995.81/x
  3. Step 3: Cross multiply
    59,852.34x = 82,596.80 × 32,995.81
  4. Step 4: Simplify right side
    59,852.34x = 2,725,348,319.41
  5. Step 5: Solve for x
    x = 2,725,348,319.41/59,852.34
  6. Step 6: Final answer
    x = 45,534.53

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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.