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Finding the Fourth Proportional to 30,710, 42,379.98 and 17,281.48

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Solution

The fourth proportional to 30,710, 42,379.98 and 17,281.48 is: 23,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710 : 42,379.98 = 17,281.48 : x
  2. Step 2: Convert to fraction form
    30,710/42,379.98 = 17,281.48/x
  3. Step 3: Cross multiply
    30,710x = 42,379.98 × 17,281.48
  4. Step 4: Simplify right side
    30,710x = 732,388,776.77
  5. Step 5: Solve for x
    x = 732,388,776.77/30,710
  6. Step 6: Final answer
    x = 23,848.54

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