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Finding the Fourth Proportional to 76,792.32, 105,965.76 and 56,660.16

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Solution

The fourth proportional to 76,792.32, 105,965.76 and 56,660.16 is: 78,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,792.32 : 105,965.76 = 56,660.16 : x
  2. Step 2: Convert to fraction form
    76,792.32/105,965.76 = 56,660.16/x
  3. Step 3: Cross multiply
    76,792.32x = 105,965.76 × 56,660.16
  4. Step 4: Simplify right side
    76,792.32x = 6,004,036,916.12
  5. Step 5: Solve for x
    x = 6,004,036,916.12/76,792.32
  6. Step 6: Final answer
    x = 78,185.38

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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.