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Finding the Fourth Proportional to 42,364.76, 63,548.79 and 12,782.59

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Solution

The fourth proportional to 42,364.76, 63,548.79 and 12,782.59 is: 19,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364.76 : 63,548.79 = 12,782.59 : x
  2. Step 2: Convert to fraction form
    42,364.76/63,548.79 = 12,782.59/x
  3. Step 3: Cross multiply
    42,364.76x = 63,548.79 × 12,782.59
  4. Step 4: Simplify right side
    42,364.76x = 812,318,278.22
  5. Step 5: Solve for x
    x = 812,318,278.22/42,364.76
  6. Step 6: Final answer
    x = 19,174.39

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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.