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Finding the Fourth Proportional to 32,914.58, 45,422 and 17,807.28

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Solution

The fourth proportional to 32,914.58, 45,422 and 17,807.28 is: 24,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.58 : 45,422 = 17,807.28 : x
  2. Step 2: Convert to fraction form
    32,914.58/45,422 = 17,807.28/x
  3. Step 3: Cross multiply
    32,914.58x = 45,422 × 17,807.28
  4. Step 4: Simplify right side
    32,914.58x = 808,842,272.16
  5. Step 5: Solve for x
    x = 808,842,272.16/32,914.58
  6. Step 6: Final answer
    x = 24,573.98

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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.