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Finding the Fourth Proportional to 55,957.76, 77,232.08 and 32,084.60

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Solution

The fourth proportional to 55,957.76, 77,232.08 and 32,084.60 is: 44,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,957.76 : 77,232.08 = 32,084.60 : x
  2. Step 2: Convert to fraction form
    55,957.76/77,232.08 = 32,084.60/x
  3. Step 3: Cross multiply
    55,957.76x = 77,232.08 × 32,084.60
  4. Step 4: Simplify right side
    55,957.76x = 2,477,960,393.97
  5. Step 5: Solve for x
    x = 2,477,960,393.97/55,957.76
  6. Step 6: Final answer
    x = 44,282.69

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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.