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Finding the Fourth Proportional to 53,662.16, 74,057.22 and 31,002.11

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Solution

The fourth proportional to 53,662.16, 74,057.22 and 31,002.11 is: 42,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662.16 : 74,057.22 = 31,002.11 : x
  2. Step 2: Convert to fraction form
    53,662.16/74,057.22 = 31,002.11/x
  3. Step 3: Cross multiply
    53,662.16x = 74,057.22 × 31,002.11
  4. Step 4: Simplify right side
    53,662.16x = 2,295,929,710.45
  5. Step 5: Solve for x
    x = 2,295,929,710.45/53,662.16
  6. Step 6: Final answer
    x = 42,784.90

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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.