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Finding the Fourth Proportional to 31,577.68, 47,373.04 and 11,856.16

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Solution

The fourth proportional to 31,577.68, 47,373.04 and 11,856.16 is: 17,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577.68 : 47,373.04 = 11,856.16 : x
  2. Step 2: Convert to fraction form
    31,577.68/47,373.04 = 11,856.16/x
  3. Step 3: Cross multiply
    31,577.68x = 47,373.04 × 11,856.16
  4. Step 4: Simplify right side
    31,577.68x = 561,662,341.93
  5. Step 5: Solve for x
    x = 561,662,341.93/31,577.68
  6. Step 6: Final answer
    x = 17,786.69

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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.