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Finding the Fourth Proportional to 31,292.64, 46,957.44 and 11,585.04

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Solution

The fourth proportional to 31,292.64, 46,957.44 and 11,585.04 is: 17,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.64 : 46,957.44 = 11,585.04 : x
  2. Step 2: Convert to fraction form
    31,292.64/46,957.44 = 11,585.04/x
  3. Step 3: Cross multiply
    31,292.64x = 46,957.44 × 11,585.04
  4. Step 4: Simplify right side
    31,292.64x = 544,003,820.70
  5. Step 5: Solve for x
    x = 544,003,820.70/31,292.64
  6. Step 6: Final answer
    x = 17,384.40

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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.