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Finding the Fourth Proportional to 52,615.68, 78,952.68 and 21,448.50

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Solution

The fourth proportional to 52,615.68, 78,952.68 and 21,448.50 is: 32,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,615.68 : 78,952.68 = 21,448.50 : x
  2. Step 2: Convert to fraction form
    52,615.68/78,952.68 = 21,448.50/x
  3. Step 3: Cross multiply
    52,615.68x = 78,952.68 × 21,448.50
  4. Step 4: Simplify right side
    52,615.68x = 1,693,416,556.98
  5. Step 5: Solve for x
    x = 1,693,416,556.98/52,615.68
  6. Step 6: Final answer
    x = 32,184.64

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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.