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Finding the Fourth Proportional to 31,616.06, 47,423.54 and 9,429.50

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Solution

The fourth proportional to 31,616.06, 47,423.54 and 9,429.50 is: 14,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.06 : 47,423.54 = 9,429.50 : x
  2. Step 2: Convert to fraction form
    31,616.06/47,423.54 = 9,429.50/x
  3. Step 3: Cross multiply
    31,616.06x = 47,423.54 × 9,429.50
  4. Step 4: Simplify right side
    31,616.06x = 447,180,056.89
  5. Step 5: Solve for x
    x = 447,180,056.89/31,616.06
  6. Step 6: Final answer
    x = 14,144.08

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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.