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Finding the Fourth Proportional to 31,925.89, 47,894.09 and 9,734.08

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Solution

The fourth proportional to 31,925.89, 47,894.09 and 9,734.08 is: 14,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925.89 : 47,894.09 = 9,734.08 : x
  2. Step 2: Convert to fraction form
    31,925.89/47,894.09 = 9,734.08/x
  3. Step 3: Cross multiply
    31,925.89x = 47,894.09 × 9,734.08
  4. Step 4: Simplify right side
    31,925.89x = 466,204,808.19
  5. Step 5: Solve for x
    x = 466,204,808.19/31,925.89
  6. Step 6: Final answer
    x = 14,602.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.