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Finding the Fourth Proportional to 59,568.12, 82,204.12 and 34,417.64

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Solution

The fourth proportional to 59,568.12, 82,204.12 and 34,417.64 is: 47,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,568.12 : 82,204.12 = 34,417.64 : x
  2. Step 2: Convert to fraction form
    59,568.12/82,204.12 = 34,417.64/x
  3. Step 3: Cross multiply
    59,568.12x = 82,204.12 × 34,417.64
  4. Step 4: Simplify right side
    59,568.12x = 2,829,271,808.68
  5. Step 5: Solve for x
    x = 2,829,271,808.68/59,568.12
  6. Step 6: Final answer
    x = 47,496.41

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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.