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Finding the Fourth Proportional to 39,706.40, 59,546.95 and 13,046.20

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Solution

The fourth proportional to 39,706.40, 59,546.95 and 13,046.20 is: 19,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,706.40 : 59,546.95 = 13,046.20 : x
  2. Step 2: Convert to fraction form
    39,706.40/59,546.95 = 13,046.20/x
  3. Step 3: Cross multiply
    39,706.40x = 59,546.95 × 13,046.20
  4. Step 4: Simplify right side
    39,706.40x = 776,861,419.09
  5. Step 5: Solve for x
    x = 776,861,419.09/39,706.40
  6. Step 6: Final answer
    x = 19,565.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.