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Finding the Fourth Proportional to 31,904.48, 47,856.72 and 8,530.31

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Solution

The fourth proportional to 31,904.48, 47,856.72 and 8,530.31 is: 12,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.48 : 47,856.72 = 8,530.31 : x
  2. Step 2: Convert to fraction form
    31,904.48/47,856.72 = 8,530.31/x
  3. Step 3: Cross multiply
    31,904.48x = 47,856.72 × 8,530.31
  4. Step 4: Simplify right side
    31,904.48x = 408,232,808.81
  5. Step 5: Solve for x
    x = 408,232,808.81/31,904.48
  6. Step 6: Final answer
    x = 12,795.47

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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.