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Finding the Fourth Proportional to 42,716.69, 64,072.49 and 13,134.32

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Solution

The fourth proportional to 42,716.69, 64,072.49 and 13,134.32 is: 19,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716.69 : 64,072.49 = 13,134.32 : x
  2. Step 2: Convert to fraction form
    42,716.69/64,072.49 = 13,134.32/x
  3. Step 3: Cross multiply
    42,716.69x = 64,072.49 × 13,134.32
  4. Step 4: Simplify right side
    42,716.69x = 841,548,200.82
  5. Step 5: Solve for x
    x = 841,548,200.82/42,716.69
  6. Step 6: Final answer
    x = 19,700.69

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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.