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Finding the Fourth Proportional to 57,869.16, 86,810.69 and 20,421.50

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Solution

The fourth proportional to 57,869.16, 86,810.69 and 20,421.50 is: 30,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,869.16 : 86,810.69 = 20,421.50 : x
  2. Step 2: Convert to fraction form
    57,869.16/86,810.69 = 20,421.50/x
  3. Step 3: Cross multiply
    57,869.16x = 86,810.69 × 20,421.50
  4. Step 4: Simplify right side
    57,869.16x = 1,772,804,403.73
  5. Step 5: Solve for x
    x = 1,772,804,403.73/57,869.16
  6. Step 6: Final answer
    x = 30,634.70

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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.