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Finding the Fourth Proportional to 35,564.80, 53,366.40 and 15,846.40

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Solution

The fourth proportional to 35,564.80, 53,366.40 and 15,846.40 is: 23,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564.80 : 53,366.40 = 15,846.40 : x
  2. Step 2: Convert to fraction form
    35,564.80/53,366.40 = 15,846.40/x
  3. Step 3: Cross multiply
    35,564.80x = 53,366.40 × 15,846.40
  4. Step 4: Simplify right side
    35,564.80x = 845,665,320.96
  5. Step 5: Solve for x
    x = 845,665,320.96/35,564.80
  6. Step 6: Final answer
    x = 23,778.15

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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.