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Finding the Fourth Proportional to 76,478.55, 105,540.30 and 42,490.17

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Solution

The fourth proportional to 76,478.55, 105,540.30 and 42,490.17 is: 58,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.55 : 105,540.30 = 42,490.17 : x
  2. Step 2: Convert to fraction form
    76,478.55/105,540.30 = 42,490.17/x
  3. Step 3: Cross multiply
    76,478.55x = 105,540.30 × 42,490.17
  4. Step 4: Simplify right side
    76,478.55x = 4,484,425,288.85
  5. Step 5: Solve for x
    x = 4,484,425,288.85/76,478.55
  6. Step 6: Final answer
    x = 58,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.