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Finding the Fourth Proportional to 55,670.30, 83,489.12 and 15,686.63

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Solution

The fourth proportional to 55,670.30, 83,489.12 and 15,686.63 is: 23,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,670.30 : 83,489.12 = 15,686.63 : x
  2. Step 2: Convert to fraction form
    55,670.30/83,489.12 = 15,686.63/x
  3. Step 3: Cross multiply
    55,670.30x = 83,489.12 × 15,686.63
  4. Step 4: Simplify right side
    55,670.30x = 1,309,662,810.50
  5. Step 5: Solve for x
    x = 1,309,662,810.50/55,670.30
  6. Step 6: Final answer
    x = 23,525.34

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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.