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Finding the Fourth Proportional to 76,695.34, 105,838.52 and 44,434.34

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Solution

The fourth proportional to 76,695.34, 105,838.52 and 44,434.34 is: 61,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695.34 : 105,838.52 = 44,434.34 : x
  2. Step 2: Convert to fraction form
    76,695.34/105,838.52 = 44,434.34/x
  3. Step 3: Cross multiply
    76,695.34x = 105,838.52 × 44,434.34
  4. Step 4: Simplify right side
    76,695.34x = 4,702,864,782.78
  5. Step 5: Solve for x
    x = 4,702,864,782.78/76,695.34
  6. Step 6: Final answer
    x = 61,318.78

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