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Finding the Fourth Proportional to 81,646.37, 122,477.29 and 31,730.32

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Solution

The fourth proportional to 81,646.37, 122,477.29 and 31,730.32 is: 47,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,646.37 : 122,477.29 = 31,730.32 : x
  2. Step 2: Convert to fraction form
    81,646.37/122,477.29 = 31,730.32/x
  3. Step 3: Cross multiply
    81,646.37x = 122,477.29 × 31,730.32
  4. Step 4: Simplify right side
    81,646.37x = 3,886,243,377.57
  5. Step 5: Solve for x
    x = 3,886,243,377.57/81,646.37
  6. Step 6: Final answer
    x = 47,598.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.