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Finding the Fourth Proportional to 30,710.50, 42,380.66 and 17,281.98

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Solution

The fourth proportional to 30,710.50, 42,380.66 and 17,281.98 is: 23,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.50 : 42,380.66 = 17,281.98 : x
  2. Step 2: Convert to fraction form
    30,710.50/42,380.66 = 17,281.98/x
  3. Step 3: Cross multiply
    30,710.50x = 42,380.66 × 17,281.98
  4. Step 4: Simplify right side
    30,710.50x = 732,421,718.51
  5. Step 5: Solve for x
    x = 732,421,718.51/30,710.50
  6. Step 6: Final answer
    x = 23,849.23

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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.