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Finding the Fourth Proportional to 35,700.14, 49,266.12 and 20,592.56

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Solution

The fourth proportional to 35,700.14, 49,266.12 and 20,592.56 is: 28,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700.14 : 49,266.12 = 20,592.56 : x
  2. Step 2: Convert to fraction form
    35,700.14/49,266.12 = 20,592.56/x
  3. Step 3: Cross multiply
    35,700.14x = 49,266.12 × 20,592.56
  4. Step 4: Simplify right side
    35,700.14x = 1,014,515,532.07
  5. Step 5: Solve for x
    x = 1,014,515,532.07/35,700.14
  6. Step 6: Final answer
    x = 28,417.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.