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Finding the Fourth Proportional to 52,031.27, 71,803.16 and 28,157.96

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Solution

The fourth proportional to 52,031.27, 71,803.16 and 28,157.96 is: 38,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.27 : 71,803.16 = 28,157.96 : x
  2. Step 2: Convert to fraction form
    52,031.27/71,803.16 = 28,157.96/x
  3. Step 3: Cross multiply
    52,031.27x = 71,803.16 × 28,157.96
  4. Step 4: Simplify right side
    52,031.27x = 2,021,830,007.35
  5. Step 5: Solve for x
    x = 2,021,830,007.35/52,031.27
  6. Step 6: Final answer
    x = 38,857.98

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