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Finding the Fourth Proportional to 51,225.99, 76,820.50 and 21,646.11

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Solution

The fourth proportional to 51,225.99, 76,820.50 and 21,646.11 is: 32,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,225.99 : 76,820.50 = 21,646.11 : x
  2. Step 2: Convert to fraction form
    51,225.99/76,820.50 = 21,646.11/x
  3. Step 3: Cross multiply
    51,225.99x = 76,820.50 × 21,646.11
  4. Step 4: Simplify right side
    51,225.99x = 1,662,864,993.26
  5. Step 5: Solve for x
    x = 1,662,864,993.26/51,225.99
  6. Step 6: Final answer
    x = 32,461.35

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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.