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Finding the Fourth Proportional to 35,637.12, 53,462.88 and 12,264.48

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Solution

The fourth proportional to 35,637.12, 53,462.88 and 12,264.48 is: 18,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637.12 : 53,462.88 = 12,264.48 : x
  2. Step 2: Convert to fraction form
    35,637.12/53,462.88 = 12,264.48/x
  3. Step 3: Cross multiply
    35,637.12x = 53,462.88 × 12,264.48
  4. Step 4: Simplify right side
    35,637.12x = 655,694,422.50
  5. Step 5: Solve for x
    x = 655,694,422.50/35,637.12
  6. Step 6: Final answer
    x = 18,399.20

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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.