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Finding the Fourth Proportional to 101,434.10, 152,165.55 and 31,306.10

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Solution

The fourth proportional to 101,434.10, 152,165.55 and 31,306.10 is: 46,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,434.10 : 152,165.55 = 31,306.10 : x
  2. Step 2: Convert to fraction form
    101,434.10/152,165.55 = 31,306.10/x
  3. Step 3: Cross multiply
    101,434.10x = 152,165.55 × 31,306.10
  4. Step 4: Simplify right side
    101,434.10x = 4,763,709,924.86
  5. Step 5: Solve for x
    x = 4,763,709,924.86/101,434.10
  6. Step 6: Final answer
    x = 46,963.59

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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.