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Finding the Fourth Proportional to 32,071.80, 44,258.16 and 17,924.76

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Solution

The fourth proportional to 32,071.80, 44,258.16 and 17,924.76 is: 24,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.80 : 44,258.16 = 17,924.76 : x
  2. Step 2: Convert to fraction form
    32,071.80/44,258.16 = 17,924.76/x
  3. Step 3: Cross multiply
    32,071.80x = 44,258.16 × 17,924.76
  4. Step 4: Simplify right side
    32,071.80x = 793,316,896.04
  5. Step 5: Solve for x
    x = 793,316,896.04/32,071.80
  6. Step 6: Final answer
    x = 24,735.65

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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.