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Finding the Fourth Proportional to 80,850, 111,580.56 and 47,316

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Solution

The fourth proportional to 80,850, 111,580.56 and 47,316 is: 65,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,850 : 111,580.56 = 47,316 : x
  2. Step 2: Convert to fraction form
    80,850/111,580.56 = 47,316/x
  3. Step 3: Cross multiply
    80,850x = 111,580.56 × 47,316
  4. Step 4: Simplify right side
    80,850x = 5,279,545,776.96
  5. Step 5: Solve for x
    x = 5,279,545,776.96/80,850
  6. Step 6: Final answer
    x = 65,300.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.