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Finding the Fourth Proportional to 42,693.92, 64,043.95 and 16,398.66

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Solution

The fourth proportional to 42,693.92, 64,043.95 and 16,398.66 is: 24,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,693.92 : 64,043.95 = 16,398.66 : x
  2. Step 2: Convert to fraction form
    42,693.92/64,043.95 = 16,398.66/x
  3. Step 3: Cross multiply
    42,693.92x = 64,043.95 × 16,398.66
  4. Step 4: Simplify right side
    42,693.92x = 1,050,234,961.11
  5. Step 5: Solve for x
    x = 1,050,234,961.11/42,693.92
  6. Step 6: Final answer
    x = 24,599.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.