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Finding the Fourth Proportional to 55,966.92, 77,231.80 and 32,076.78

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Solution

The fourth proportional to 55,966.92, 77,231.80 and 32,076.78 is: 44,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966.92 : 77,231.80 = 32,076.78 : x
  2. Step 2: Convert to fraction form
    55,966.92/77,231.80 = 32,076.78/x
  3. Step 3: Cross multiply
    55,966.92x = 77,231.80 × 32,076.78
  4. Step 4: Simplify right side
    55,966.92x = 2,477,347,457.60
  5. Step 5: Solve for x
    x = 2,477,347,457.60/55,966.92
  6. Step 6: Final answer
    x = 44,264.50

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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.