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Finding the Fourth Proportional to 59,412.84, 81,986.16 and 32,550

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Solution

The fourth proportional to 59,412.84, 81,986.16 and 32,550 is: 44,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,412.84 : 81,986.16 = 32,550 : x
  2. Step 2: Convert to fraction form
    59,412.84/81,986.16 = 32,550/x
  3. Step 3: Cross multiply
    59,412.84x = 81,986.16 × 32,550
  4. Step 4: Simplify right side
    59,412.84x = 2,668,649,508
  5. Step 5: Solve for x
    x = 2,668,649,508/59,412.84
  6. Step 6: Final answer
    x = 44,917.05

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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.