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Finding the Fourth Proportional to 42,406.38, 63,599.85 and 19,039.50

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Solution

The fourth proportional to 42,406.38, 63,599.85 and 19,039.50 is: 28,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.38 : 63,599.85 = 19,039.50 : x
  2. Step 2: Convert to fraction form
    42,406.38/63,599.85 = 19,039.50/x
  3. Step 3: Cross multiply
    42,406.38x = 63,599.85 × 19,039.50
  4. Step 4: Simplify right side
    42,406.38x = 1,210,909,344.08
  5. Step 5: Solve for x
    x = 1,210,909,344.08/42,406.38
  6. Step 6: Final answer
    x = 28,554.89

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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.