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Finding the Fourth Proportional to 35,589.94, 53,394.18 and 13,403.50

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Solution

The fourth proportional to 35,589.94, 53,394.18 and 13,403.50 is: 20,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,589.94 : 53,394.18 = 13,403.50 : x
  2. Step 2: Convert to fraction form
    35,589.94/53,394.18 = 13,403.50/x
  3. Step 3: Cross multiply
    35,589.94x = 53,394.18 × 13,403.50
  4. Step 4: Simplify right side
    35,589.94x = 715,668,891.63
  5. Step 5: Solve for x
    x = 715,668,891.63/35,589.94
  6. Step 6: Final answer
    x = 20,108.74

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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.