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Finding the Fourth Proportional to 35,428.16, 53,105.79 and 15,716

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Solution

The fourth proportional to 35,428.16, 53,105.79 and 15,716 is: 23,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,428.16 : 53,105.79 = 15,716 : x
  2. Step 2: Convert to fraction form
    35,428.16/53,105.79 = 15,716/x
  3. Step 3: Cross multiply
    35,428.16x = 53,105.79 × 15,716
  4. Step 4: Simplify right side
    35,428.16x = 834,610,595.64
  5. Step 5: Solve for x
    x = 834,610,595.64/35,428.16
  6. Step 6: Final answer
    x = 23,557.83

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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.