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Finding the Fourth Proportional to 31,907.64, 44,032.55 and 17,760.18

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Solution

The fourth proportional to 31,907.64, 44,032.55 and 17,760.18 is: 24,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.64 : 44,032.55 = 17,760.18 : x
  2. Step 2: Convert to fraction form
    31,907.64/44,032.55 = 17,760.18/x
  3. Step 3: Cross multiply
    31,907.64x = 44,032.55 × 17,760.18
  4. Step 4: Simplify right side
    31,907.64x = 782,026,013.86
  5. Step 5: Solve for x
    x = 782,026,013.86/31,907.64
  6. Step 6: Final answer
    x = 24,509.05

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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.