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Finding the Fourth Proportional to 51,985.96, 71,740.68 and 28,112.68

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Solution

The fourth proportional to 51,985.96, 71,740.68 and 28,112.68 is: 38,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985.96 : 71,740.68 = 28,112.68 : x
  2. Step 2: Convert to fraction form
    51,985.96/71,740.68 = 28,112.68/x
  3. Step 3: Cross multiply
    51,985.96x = 71,740.68 × 28,112.68
  4. Step 4: Simplify right side
    51,985.96x = 2,016,822,779.82
  5. Step 5: Solve for x
    x = 2,016,822,779.82/51,985.96
  6. Step 6: Final answer
    x = 38,795.53

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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.