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Finding the Fourth Proportional to 31,904.42, 47,856.63 and 8,530.25

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Solution

The fourth proportional to 31,904.42, 47,856.63 and 8,530.25 is: 12,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.42 : 47,856.63 = 8,530.25 : x
  2. Step 2: Convert to fraction form
    31,904.42/47,856.63 = 8,530.25/x
  3. Step 3: Cross multiply
    31,904.42x = 47,856.63 × 8,530.25
  4. Step 4: Simplify right side
    31,904.42x = 408,229,018.06
  5. Step 5: Solve for x
    x = 408,229,018.06/31,904.42
  6. Step 6: Final answer
    x = 12,795.38

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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.