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Finding the Fourth Proportional to 31,386.38, 47,056.76 and 14,737.84

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Solution

The fourth proportional to 31,386.38, 47,056.76 and 14,737.84 is: 22,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.38 : 47,056.76 = 14,737.84 : x
  2. Step 2: Convert to fraction form
    31,386.38/47,056.76 = 14,737.84/x
  3. Step 3: Cross multiply
    31,386.38x = 47,056.76 × 14,737.84
  4. Step 4: Simplify right side
    31,386.38x = 693,514,999.80
  5. Step 5: Solve for x
    x = 693,514,999.80/31,386.38
  6. Step 6: Final answer
    x = 22,096.05

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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.