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Finding the Fourth Proportional to 32,148.47, 48,222.70 and 14,623.31

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Solution

The fourth proportional to 32,148.47, 48,222.70 and 14,623.31 is: 21,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148.47 : 48,222.70 = 14,623.31 : x
  2. Step 2: Convert to fraction form
    32,148.47/48,222.70 = 14,623.31/x
  3. Step 3: Cross multiply
    32,148.47x = 48,222.70 × 14,623.31
  4. Step 4: Simplify right side
    32,148.47x = 705,175,575.14
  5. Step 5: Solve for x
    x = 705,175,575.14/32,148.47
  6. Step 6: Final answer
    x = 21,934.96

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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.