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Finding the Fourth Proportional to 42,267.86, 63,398.12 and 25,623

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Solution

The fourth proportional to 42,267.86, 63,398.12 and 25,623 is: 38,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,267.86 : 63,398.12 = 25,623 : x
  2. Step 2: Convert to fraction form
    42,267.86/63,398.12 = 25,623/x
  3. Step 3: Cross multiply
    42,267.86x = 63,398.12 × 25,623
  4. Step 4: Simplify right side
    42,267.86x = 1,624,450,028.76
  5. Step 5: Solve for x
    x = 1,624,450,028.76/42,267.86
  6. Step 6: Final answer
    x = 38,432.28

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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.