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Finding the Fourth Proportional to 42,716.30, 64,075.47 and 13,134.41

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Solution

The fourth proportional to 42,716.30, 64,075.47 and 13,134.41 is: 19,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716.30 : 64,075.47 = 13,134.41 : x
  2. Step 2: Convert to fraction form
    42,716.30/64,075.47 = 13,134.41/x
  3. Step 3: Cross multiply
    42,716.30x = 64,075.47 × 13,134.41
  4. Step 4: Simplify right side
    42,716.30x = 841,593,107.87
  5. Step 5: Solve for x
    x = 841,593,107.87/42,716.30
  6. Step 6: Final answer
    x = 19,701.92

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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.