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Finding the Fourth Proportional to 42,362.41, 63,544.07 and 12,780.50

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Solution

The fourth proportional to 42,362.41, 63,544.07 and 12,780.50 is: 19,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,362.41 : 63,544.07 = 12,780.50 : x
  2. Step 2: Convert to fraction form
    42,362.41/63,544.07 = 12,780.50/x
  3. Step 3: Cross multiply
    42,362.41x = 63,544.07 × 12,780.50
  4. Step 4: Simplify right side
    42,362.41x = 812,124,986.64
  5. Step 5: Solve for x
    x = 812,124,986.64/42,362.41
  6. Step 6: Final answer
    x = 19,170.89

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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.