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Finding the Fourth Proportional to 114,817.50, 172,235.97 and 31,711.50

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Solution

The fourth proportional to 114,817.50, 172,235.97 and 31,711.50 is: 47,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,817.50 : 172,235.97 = 31,711.50 : x
  2. Step 2: Convert to fraction form
    114,817.50/172,235.97 = 31,711.50/x
  3. Step 3: Cross multiply
    114,817.50x = 172,235.97 × 31,711.50
  4. Step 4: Simplify right side
    114,817.50x = 5,461,860,962.66
  5. Step 5: Solve for x
    x = 5,461,860,962.66/114,817.50
  6. Step 6: Final answer
    x = 47,569.93

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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.