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Finding the Fourth Proportional to 57,870.35, 79,894.54 and 38,504.46

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Solution

The fourth proportional to 57,870.35, 79,894.54 and 38,504.46 is: 53,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,870.35 : 79,894.54 = 38,504.46 : x
  2. Step 2: Convert to fraction form
    57,870.35/79,894.54 = 38,504.46/x
  3. Step 3: Cross multiply
    57,870.35x = 79,894.54 × 38,504.46
  4. Step 4: Simplify right side
    57,870.35x = 3,076,295,927.13
  5. Step 5: Solve for x
    x = 3,076,295,927.13/57,870.35
  6. Step 6: Final answer
    x = 53,158.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.