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Finding the Fourth Proportional to 109,930.64, 164,887.32 and 31,041.68

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Solution

The fourth proportional to 109,930.64, 164,887.32 and 31,041.68 is: 46,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,930.64 : 164,887.32 = 31,041.68 : x
  2. Step 2: Convert to fraction form
    109,930.64/164,887.32 = 31,041.68/x
  3. Step 3: Cross multiply
    109,930.64x = 164,887.32 × 31,041.68
  4. Step 4: Simplify right side
    109,930.64x = 5,118,379,423.50
  5. Step 5: Solve for x
    x = 5,118,379,423.50/109,930.64
  6. Step 6: Final answer
    x = 46,560.08

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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.