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Finding the Fourth Proportional to 52,051.07, 71,830.14 and 28,177.22

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Solution

The fourth proportional to 52,051.07, 71,830.14 and 28,177.22 is: 38,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.07 : 71,830.14 = 28,177.22 : x
  2. Step 2: Convert to fraction form
    52,051.07/71,830.14 = 28,177.22/x
  3. Step 3: Cross multiply
    52,051.07x = 71,830.14 × 28,177.22
  4. Step 4: Simplify right side
    52,051.07x = 2,023,973,657.41
  5. Step 5: Solve for x
    x = 2,023,973,657.41/52,051.07
  6. Step 6: Final answer
    x = 38,884.38

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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.