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Finding the Fourth Proportional to 34,602.24, 47,732.48 and 20,444.16

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Solution

The fourth proportional to 34,602.24, 47,732.48 and 20,444.16 is: 28,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.24 : 47,732.48 = 20,444.16 : x
  2. Step 2: Convert to fraction form
    34,602.24/47,732.48 = 20,444.16/x
  3. Step 3: Cross multiply
    34,602.24x = 47,732.48 × 20,444.16
  4. Step 4: Simplify right side
    34,602.24x = 975,850,458.32
  5. Step 5: Solve for x
    x = 975,850,458.32/34,602.24
  6. Step 6: Final answer
    x = 28,201.94

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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.