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Finding the Fourth Proportional to 94,352.80, 130,221.12 and 56,647.84

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Solution

The fourth proportional to 94,352.80, 130,221.12 and 56,647.84 is: 78,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,352.80 : 130,221.12 = 56,647.84 : x
  2. Step 2: Convert to fraction form
    94,352.80/130,221.12 = 56,647.84/x
  3. Step 3: Cross multiply
    94,352.80x = 130,221.12 × 56,647.84
  4. Step 4: Simplify right side
    94,352.80x = 7,376,745,170.38
  5. Step 5: Solve for x
    x = 7,376,745,170.38/94,352.80
  6. Step 6: Final answer
    x = 78,182.58

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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.