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Finding the Fourth Proportional to 52,274.64, 78,420 and 17,206.08

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Solution

The fourth proportional to 52,274.64, 78,420 and 17,206.08 is: 25,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,274.64 : 78,420 = 17,206.08 : x
  2. Step 2: Convert to fraction form
    52,274.64/78,420 = 17,206.08/x
  3. Step 3: Cross multiply
    52,274.64x = 78,420 × 17,206.08
  4. Step 4: Simplify right side
    52,274.64x = 1,349,300,793.60
  5. Step 5: Solve for x
    x = 1,349,300,793.60/52,274.64
  6. Step 6: Final answer
    x = 25,811.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.