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Finding the Fourth Proportional to 42,116, 63,179.12 and 12,932

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Solution

The fourth proportional to 42,116, 63,179.12 and 12,932 is: 19,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,116 : 63,179.12 = 12,932 : x
  2. Step 2: Convert to fraction form
    42,116/63,179.12 = 12,932/x
  3. Step 3: Cross multiply
    42,116x = 63,179.12 × 12,932
  4. Step 4: Simplify right side
    42,116x = 817,032,379.84
  5. Step 5: Solve for x
    x = 817,032,379.84/42,116
  6. Step 6: Final answer
    x = 19,399.57

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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.