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Finding the Fourth Proportional to 51,482.94, 71,045.92 and 28,822.12

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Solution

The fourth proportional to 51,482.94, 71,045.92 and 28,822.12 is: 39,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,482.94 : 71,045.92 = 28,822.12 : x
  2. Step 2: Convert to fraction form
    51,482.94/71,045.92 = 28,822.12/x
  3. Step 3: Cross multiply
    51,482.94x = 71,045.92 × 28,822.12
  4. Step 4: Simplify right side
    51,482.94x = 2,047,694,031.75
  5. Step 5: Solve for x
    x = 2,047,694,031.75/51,482.94
  6. Step 6: Final answer
    x = 39,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.