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Finding the Fourth Proportional to 55,841, 83,780.92 and 26,281.40

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Solution

The fourth proportional to 55,841, 83,780.92 and 26,281.40 is: 39,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,841 : 83,780.92 = 26,281.40 : x
  2. Step 2: Convert to fraction form
    55,841/83,780.92 = 26,281.40/x
  3. Step 3: Cross multiply
    55,841x = 83,780.92 × 26,281.40
  4. Step 4: Simplify right side
    55,841x = 2,201,879,870.89
  5. Step 5: Solve for x
    x = 2,201,879,870.89/55,841
  6. Step 6: Final answer
    x = 39,431.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.