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Finding the Fourth Proportional to 52,182.02, 71,978.42 and 30,946.25

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Solution

The fourth proportional to 52,182.02, 71,978.42 and 30,946.25 is: 42,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,182.02 : 71,978.42 = 30,946.25 : x
  2. Step 2: Convert to fraction form
    52,182.02/71,978.42 = 30,946.25/x
  3. Step 3: Cross multiply
    52,182.02x = 71,978.42 × 30,946.25
  4. Step 4: Simplify right side
    52,182.02x = 2,227,462,025.19
  5. Step 5: Solve for x
    x = 2,227,462,025.19/52,182.02
  6. Step 6: Final answer
    x = 42,686.39

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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.