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Finding the Fourth Proportional to 30,685.65, 42,291.15 and 22,714.03

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Solution

The fourth proportional to 30,685.65, 42,291.15 and 22,714.03 is: 31,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.65 : 42,291.15 = 22,714.03 : x
  2. Step 2: Convert to fraction form
    30,685.65/42,291.15 = 22,714.03/x
  3. Step 3: Cross multiply
    30,685.65x = 42,291.15 × 22,714.03
  4. Step 4: Simplify right side
    30,685.65x = 960,602,417.52
  5. Step 5: Solve for x
    x = 960,602,417.52/30,685.65
  6. Step 6: Final answer
    x = 31,304.62

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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.