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Finding the Fourth Proportional to 52,068.84, 78,087.11 and 18,784.57

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Solution

The fourth proportional to 52,068.84, 78,087.11 and 18,784.57 is: 28,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,068.84 : 78,087.11 = 18,784.57 : x
  2. Step 2: Convert to fraction form
    52,068.84/78,087.11 = 18,784.57/x
  3. Step 3: Cross multiply
    52,068.84x = 78,087.11 × 18,784.57
  4. Step 4: Simplify right side
    52,068.84x = 1,466,832,783.89
  5. Step 5: Solve for x
    x = 1,466,832,783.89/52,068.84
  6. Step 6: Final answer
    x = 28,171.03

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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.