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Finding the Fourth Proportional to 35,886.80, 53,822.72 and 13,695.20

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Solution

The fourth proportional to 35,886.80, 53,822.72 and 13,695.20 is: 20,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.80 : 53,822.72 = 13,695.20 : x
  2. Step 2: Convert to fraction form
    35,886.80/53,822.72 = 13,695.20/x
  3. Step 3: Cross multiply
    35,886.80x = 53,822.72 × 13,695.20
  4. Step 4: Simplify right side
    35,886.80x = 737,112,914.94
  5. Step 5: Solve for x
    x = 737,112,914.94/35,886.80
  6. Step 6: Final answer
    x = 20,539.95

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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.