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Finding the Fourth Proportional to 97,689.40, 146,532.50 and 31,128.62

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Solution

The fourth proportional to 97,689.40, 146,532.50 and 31,128.62 is: 46,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,689.40 : 146,532.50 = 31,128.62 : x
  2. Step 2: Convert to fraction form
    97,689.40/146,532.50 = 31,128.62/x
  3. Step 3: Cross multiply
    97,689.40x = 146,532.50 × 31,128.62
  4. Step 4: Simplify right side
    97,689.40x = 4,561,354,510.15
  5. Step 5: Solve for x
    x = 4,561,354,510.15/97,689.40
  6. Step 6: Final answer
    x = 46,692.42

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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.