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Finding the Fourth Proportional to 32,902, 45,405.84 and 17,998

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Solution

The fourth proportional to 32,902, 45,405.84 and 17,998 is: 24,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902 : 45,405.84 = 17,998 : x
  2. Step 2: Convert to fraction form
    32,902/45,405.84 = 17,998/x
  3. Step 3: Cross multiply
    32,902x = 45,405.84 × 17,998
  4. Step 4: Simplify right side
    32,902x = 817,214,308.32
  5. Step 5: Solve for x
    x = 817,214,308.32/32,902
  6. Step 6: Final answer
    x = 24,837.83

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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.