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Finding the Fourth Proportional to 31,275.56, 46,908.48 and 11,549.63

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Solution

The fourth proportional to 31,275.56, 46,908.48 and 11,549.63 is: 17,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275.56 : 46,908.48 = 11,549.63 : x
  2. Step 2: Convert to fraction form
    31,275.56/46,908.48 = 11,549.63/x
  3. Step 3: Cross multiply
    31,275.56x = 46,908.48 × 11,549.63
  4. Step 4: Simplify right side
    31,275.56x = 541,775,587.86
  5. Step 5: Solve for x
    x = 541,775,587.86/31,275.56
  6. Step 6: Final answer
    x = 17,322.65

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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.