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Finding the Fourth Proportional to 42,892.98, 64,228.05 and 29,607

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Solution

The fourth proportional to 42,892.98, 64,228.05 and 29,607 is: 44,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,892.98 : 64,228.05 = 29,607 : x
  2. Step 2: Convert to fraction form
    42,892.98/64,228.05 = 29,607/x
  3. Step 3: Cross multiply
    42,892.98x = 64,228.05 × 29,607
  4. Step 4: Simplify right side
    42,892.98x = 1,901,599,876.35
  5. Step 5: Solve for x
    x = 1,901,599,876.35/42,892.98
  6. Step 6: Final answer
    x = 44,333.59

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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.