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Finding the Fourth Proportional to 53,277.84, 79,854.56 and 40,087.84

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Solution

The fourth proportional to 53,277.84, 79,854.56 and 40,087.84 is: 60,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,277.84 : 79,854.56 = 40,087.84 : x
  2. Step 2: Convert to fraction form
    53,277.84/79,854.56 = 40,087.84/x
  3. Step 3: Cross multiply
    53,277.84x = 79,854.56 × 40,087.84
  4. Step 4: Simplify right side
    53,277.84x = 3,201,196,824.55
  5. Step 5: Solve for x
    x = 3,201,196,824.55/53,277.84
  6. Step 6: Final answer
    x = 60,084.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.