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Finding the Fourth Proportional to 35,623, 53,434.50 and 14,846.50

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Solution

The fourth proportional to 35,623, 53,434.50 and 14,846.50 is: 22,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,623 : 53,434.50 = 14,846.50 : x
  2. Step 2: Convert to fraction form
    35,623/53,434.50 = 14,846.50/x
  3. Step 3: Cross multiply
    35,623x = 53,434.50 × 14,846.50
  4. Step 4: Simplify right side
    35,623x = 793,315,304.25
  5. Step 5: Solve for x
    x = 793,315,304.25/35,623
  6. Step 6: Final answer
    x = 22,269.75

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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.