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Finding the Fourth Proportional to 31,693.32, 47,520.54 and 14,139

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Solution

The fourth proportional to 31,693.32, 47,520.54 and 14,139 is: 21,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.32 : 47,520.54 = 14,139 : x
  2. Step 2: Convert to fraction form
    31,693.32/47,520.54 = 14,139/x
  3. Step 3: Cross multiply
    31,693.32x = 47,520.54 × 14,139
  4. Step 4: Simplify right side
    31,693.32x = 671,892,915.06
  5. Step 5: Solve for x
    x = 671,892,915.06/31,693.32
  6. Step 6: Final answer
    x = 21,199.83

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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.