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Finding the Fourth Proportional to 49,411.64, 74,117.21 and 11,971.72

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Solution

The fourth proportional to 49,411.64, 74,117.21 and 11,971.72 is: 17,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,411.64 : 74,117.21 = 11,971.72 : x
  2. Step 2: Convert to fraction form
    49,411.64/74,117.21 = 11,971.72/x
  3. Step 3: Cross multiply
    49,411.64x = 74,117.21 × 11,971.72
  4. Step 4: Simplify right side
    49,411.64x = 887,310,114.72
  5. Step 5: Solve for x
    x = 887,310,114.72/49,411.64
  6. Step 6: Final answer
    x = 17,957.51

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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.