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Finding the Fourth Proportional to 40,783.44, 61,178.40 and 17,410.08

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Solution

The fourth proportional to 40,783.44, 61,178.40 and 17,410.08 is: 26,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783.44 : 61,178.40 = 17,410.08 : x
  2. Step 2: Convert to fraction form
    40,783.44/61,178.40 = 17,410.08/x
  3. Step 3: Cross multiply
    40,783.44x = 61,178.40 × 17,410.08
  4. Step 4: Simplify right side
    40,783.44x = 1,065,120,838.27
  5. Step 5: Solve for x
    x = 1,065,120,838.27/40,783.44
  6. Step 6: Final answer
    x = 26,116.50

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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.