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Finding the Fourth Proportional to 77,282.40, 115,858.80 and 40,346.40

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Solution

The fourth proportional to 77,282.40, 115,858.80 and 40,346.40 is: 60,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282.40 : 115,858.80 = 40,346.40 : x
  2. Step 2: Convert to fraction form
    77,282.40/115,858.80 = 40,346.40/x
  3. Step 3: Cross multiply
    77,282.40x = 115,858.80 × 40,346.40
  4. Step 4: Simplify right side
    77,282.40x = 4,674,485,488.32
  5. Step 5: Solve for x
    x = 4,674,485,488.32/77,282.40
  6. Step 6: Final answer
    x = 60,485.77

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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.