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Finding the Fourth Proportional to 30,710.40, 42,379.84 and 17,281.65

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Solution

The fourth proportional to 30,710.40, 42,379.84 and 17,281.65 is: 23,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.40 : 42,379.84 = 17,281.65 : x
  2. Step 2: Convert to fraction form
    30,710.40/42,379.84 = 17,281.65/x
  3. Step 3: Cross multiply
    30,710.40x = 42,379.84 × 17,281.65
  4. Step 4: Simplify right side
    30,710.40x = 732,393,561.94
  5. Step 5: Solve for x
    x = 732,393,561.94/30,710.40
  6. Step 6: Final answer
    x = 23,848.39

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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.