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Finding the Fourth Proportional to 52,047.36, 71,820.80 and 30,823.04

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Solution

The fourth proportional to 52,047.36, 71,820.80 and 30,823.04 is: 42,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.36 : 71,820.80 = 30,823.04 : x
  2. Step 2: Convert to fraction form
    52,047.36/71,820.80 = 30,823.04/x
  3. Step 3: Cross multiply
    52,047.36x = 71,820.80 × 30,823.04
  4. Step 4: Simplify right side
    52,047.36x = 2,213,735,391.23
  5. Step 5: Solve for x
    x = 2,213,735,391.23/52,047.36
  6. Step 6: Final answer
    x = 42,533.10

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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.