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Finding the Fourth Proportional to 59,710, 82,394.40 and 32,853.64

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Solution

The fourth proportional to 59,710, 82,394.40 and 32,853.64 is: 45,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,710 : 82,394.40 = 32,853.64 : x
  2. Step 2: Convert to fraction form
    59,710/82,394.40 = 32,853.64/x
  3. Step 3: Cross multiply
    59,710x = 82,394.40 × 32,853.64
  4. Step 4: Simplify right side
    59,710x = 2,706,955,955.62
  5. Step 5: Solve for x
    x = 2,706,955,955.62/59,710
  6. Step 6: Final answer
    x = 45,335.05

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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.