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Finding the Fourth Proportional to 77,652.80, 116,421.60 and 33,243.20

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Solution

The fourth proportional to 77,652.80, 116,421.60 and 33,243.20 is: 49,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652.80 : 116,421.60 = 33,243.20 : x
  2. Step 2: Convert to fraction form
    77,652.80/116,421.60 = 33,243.20/x
  3. Step 3: Cross multiply
    77,652.80x = 116,421.60 × 33,243.20
  4. Step 4: Simplify right side
    77,652.80x = 3,870,226,533.12
  5. Step 5: Solve for x
    x = 3,870,226,533.12/77,652.80
  6. Step 6: Final answer
    x = 49,840.14

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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.