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Finding the Fourth Proportional to 51,428.40, 77,153.88 and 21,871.52

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Solution

The fourth proportional to 51,428.40, 77,153.88 and 21,871.52 is: 32,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428.40 : 77,153.88 = 21,871.52 : x
  2. Step 2: Convert to fraction form
    51,428.40/77,153.88 = 21,871.52/x
  3. Step 3: Cross multiply
    51,428.40x = 77,153.88 × 21,871.52
  4. Step 4: Simplify right side
    51,428.40x = 1,687,472,629.50
  5. Step 5: Solve for x
    x = 1,687,472,629.50/51,428.40
  6. Step 6: Final answer
    x = 32,812.08

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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.