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Finding the Fourth Proportional to 51,903.58, 77,816.14 and 21,927.10

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Solution

The fourth proportional to 51,903.58, 77,816.14 and 21,927.10 is: 32,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.58 : 77,816.14 = 21,927.10 : x
  2. Step 2: Convert to fraction form
    51,903.58/77,816.14 = 21,927.10/x
  3. Step 3: Cross multiply
    51,903.58x = 77,816.14 × 21,927.10
  4. Step 4: Simplify right side
    51,903.58x = 1,706,282,283.39
  5. Step 5: Solve for x
    x = 1,706,282,283.39/51,903.58
  6. Step 6: Final answer
    x = 32,874.08

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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.