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Finding the Fourth Proportional to 51,687.65, 77,482.26 and 16,602.71

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Solution

The fourth proportional to 51,687.65, 77,482.26 and 16,602.71 is: 24,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,687.65 : 77,482.26 = 16,602.71 : x
  2. Step 2: Convert to fraction form
    51,687.65/77,482.26 = 16,602.71/x
  3. Step 3: Cross multiply
    51,687.65x = 77,482.26 × 16,602.71
  4. Step 4: Simplify right side
    51,687.65x = 1,286,415,105.51
  5. Step 5: Solve for x
    x = 1,286,415,105.51/51,687.65
  6. Step 6: Final answer
    x = 24,888.25

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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.