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Finding the Fourth Proportional to 101,156.34, 151,737.30 and 31,035.66

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Solution

The fourth proportional to 101,156.34, 151,737.30 and 31,035.66 is: 46,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,156.34 : 151,737.30 = 31,035.66 : x
  2. Step 2: Convert to fraction form
    101,156.34/151,737.30 = 31,035.66/x
  3. Step 3: Cross multiply
    101,156.34x = 151,737.30 × 31,035.66
  4. Step 4: Simplify right side
    101,156.34x = 4,709,266,683.10
  5. Step 5: Solve for x
    x = 4,709,266,683.10/101,156.34
  6. Step 6: Final answer
    x = 46,554.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.