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Finding the Fourth Proportional to 72,897.50, 109,353 and 33,448.88

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Solution

The fourth proportional to 72,897.50, 109,353 and 33,448.88 is: 50,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,897.50 : 109,353 = 33,448.88 : x
  2. Step 2: Convert to fraction form
    72,897.50/109,353 = 33,448.88/x
  3. Step 3: Cross multiply
    72,897.50x = 109,353 × 33,448.88
  4. Step 4: Simplify right side
    72,897.50x = 3,657,735,374.64
  5. Step 5: Solve for x
    x = 3,657,735,374.64/72,897.50
  6. Step 6: Final answer
    x = 50,176.42

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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.