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Finding the Fourth Proportional to 77,216.40, 115,835.40 and 32,842.80

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Solution

The fourth proportional to 77,216.40, 115,835.40 and 32,842.80 is: 49,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,216.40 : 115,835.40 = 32,842.80 : x
  2. Step 2: Convert to fraction form
    77,216.40/115,835.40 = 32,842.80/x
  3. Step 3: Cross multiply
    77,216.40x = 115,835.40 × 32,842.80
  4. Step 4: Simplify right side
    77,216.40x = 3,804,358,875.12
  5. Step 5: Solve for x
    x = 3,804,358,875.12/77,216.40
  6. Step 6: Final answer
    x = 49,268.79

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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.