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Finding the Fourth Proportional to 42,986.46, 64,492.50 and 20,514.01

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Solution

The fourth proportional to 42,986.46, 64,492.50 and 20,514.01 is: 30,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,986.46 : 64,492.50 = 20,514.01 : x
  2. Step 2: Convert to fraction form
    42,986.46/64,492.50 = 20,514.01/x
  3. Step 3: Cross multiply
    42,986.46x = 64,492.50 × 20,514.01
  4. Step 4: Simplify right side
    42,986.46x = 1,322,999,826.54
  5. Step 5: Solve for x
    x = 1,322,999,826.54/42,986.46
  6. Step 6: Final answer
    x = 30,777.13

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