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Finding the Fourth Proportional to 51,031.84, 76,553.52 and 21,444.16

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Solution

The fourth proportional to 51,031.84, 76,553.52 and 21,444.16 is: 32,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,031.84 : 76,553.52 = 21,444.16 : x
  2. Step 2: Convert to fraction form
    51,031.84/76,553.52 = 21,444.16/x
  3. Step 3: Cross multiply
    51,031.84x = 76,553.52 × 21,444.16
  4. Step 4: Simplify right side
    51,031.84x = 1,641,625,931.44
  5. Step 5: Solve for x
    x = 1,641,625,931.44/51,031.84
  6. Step 6: Final answer
    x = 32,168.66

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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.