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Finding the Fourth Proportional to 34,482.31, 51,723.58 and 9,521.80

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Solution

The fourth proportional to 34,482.31, 51,723.58 and 9,521.80 is: 14,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,482.31 : 51,723.58 = 9,521.80 : x
  2. Step 2: Convert to fraction form
    34,482.31/51,723.58 = 9,521.80/x
  3. Step 3: Cross multiply
    34,482.31x = 51,723.58 × 9,521.80
  4. Step 4: Simplify right side
    34,482.31x = 492,501,699.56
  5. Step 5: Solve for x
    x = 492,501,699.56/34,482.31
  6. Step 6: Final answer
    x = 14,282.74

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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.