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Finding the Fourth Proportional to 52,802.24, 72,876.48 and 31,583.84

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Solution

The fourth proportional to 52,802.24, 72,876.48 and 31,583.84 is: 43,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,802.24 : 72,876.48 = 31,583.84 : x
  2. Step 2: Convert to fraction form
    52,802.24/72,876.48 = 31,583.84/x
  3. Step 3: Cross multiply
    52,802.24x = 72,876.48 × 31,583.84
  4. Step 4: Simplify right side
    52,802.24x = 2,301,719,084.08
  5. Step 5: Solve for x
    x = 2,301,719,084.08/52,802.24
  6. Step 6: Final answer
    x = 43,591.32

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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.