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Finding the Fourth Proportional to 42,534.42, 63,797.07 and 12,952.51

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Solution

The fourth proportional to 42,534.42, 63,797.07 and 12,952.51 is: 19,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534.42 : 63,797.07 = 12,952.51 : x
  2. Step 2: Convert to fraction form
    42,534.42/63,797.07 = 12,952.51/x
  3. Step 3: Cross multiply
    42,534.42x = 63,797.07 × 12,952.51
  4. Step 4: Simplify right side
    42,534.42x = 826,332,003.37
  5. Step 5: Solve for x
    x = 826,332,003.37/42,534.42
  6. Step 6: Final answer
    x = 19,427.37

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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.