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Finding the Fourth Proportional to 38,176.40, 57,307.80 and 22,602.80

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Solution

The fourth proportional to 38,176.40, 57,307.80 and 22,602.80 is: 33,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.40 : 57,307.80 = 22,602.80 : x
  2. Step 2: Convert to fraction form
    38,176.40/57,307.80 = 22,602.80/x
  3. Step 3: Cross multiply
    38,176.40x = 57,307.80 × 22,602.80
  4. Step 4: Simplify right side
    38,176.40x = 1,295,316,741.84
  5. Step 5: Solve for x
    x = 1,295,316,741.84/38,176.40
  6. Step 6: Final answer
    x = 33,929.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.