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Finding the Fourth Proportional to 57,185.48, 78,817.48 and 38,031.04

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Solution

The fourth proportional to 57,185.48, 78,817.48 and 38,031.04 is: 52,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,185.48 : 78,817.48 = 38,031.04 : x
  2. Step 2: Convert to fraction form
    57,185.48/78,817.48 = 38,031.04/x
  3. Step 3: Cross multiply
    57,185.48x = 78,817.48 × 38,031.04
  4. Step 4: Simplify right side
    57,185.48x = 2,997,510,734.58
  5. Step 5: Solve for x
    x = 2,997,510,734.58/57,185.48
  6. Step 6: Final answer
    x = 52,417.34

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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.