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Finding the Fourth Proportional to 35,040, 52,567.68 and 13,152

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Solution

The fourth proportional to 35,040, 52,567.68 and 13,152 is: 19,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,040 : 52,567.68 = 13,152 : x
  2. Step 2: Convert to fraction form
    35,040/52,567.68 = 13,152/x
  3. Step 3: Cross multiply
    35,040x = 52,567.68 × 13,152
  4. Step 4: Simplify right side
    35,040x = 691,370,127.36
  5. Step 5: Solve for x
    x = 691,370,127.36/35,040
  6. Step 6: Final answer
    x = 19,730.88

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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.