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Finding the Fourth Proportional to 35,577.40, 53,367.18 and 12,203.50

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Solution

The fourth proportional to 35,577.40, 53,367.18 and 12,203.50 is: 18,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577.40 : 53,367.18 = 12,203.50 : x
  2. Step 2: Convert to fraction form
    35,577.40/53,367.18 = 12,203.50/x
  3. Step 3: Cross multiply
    35,577.40x = 53,367.18 × 12,203.50
  4. Step 4: Simplify right side
    35,577.40x = 651,266,381.13
  5. Step 5: Solve for x
    x = 651,266,381.13/35,577.40
  6. Step 6: Final answer
    x = 18,305.62

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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.