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Finding the Fourth Proportional to 30,802.14, 42,508.80 and 18,062.46

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Solution

The fourth proportional to 30,802.14, 42,508.80 and 18,062.46 is: 24,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.14 : 42,508.80 = 18,062.46 : x
  2. Step 2: Convert to fraction form
    30,802.14/42,508.80 = 18,062.46/x
  3. Step 3: Cross multiply
    30,802.14x = 42,508.80 × 18,062.46
  4. Step 4: Simplify right side
    30,802.14x = 767,813,499.65
  5. Step 5: Solve for x
    x = 767,813,499.65/30,802.14
  6. Step 6: Final answer
    x = 24,927.28

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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.