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Finding the Fourth Proportional to 101,124.86, 151,705.11 and 34,549.34

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Solution

The fourth proportional to 101,124.86, 151,705.11 and 34,549.34 is: 51,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,124.86 : 151,705.11 = 34,549.34 : x
  2. Step 2: Convert to fraction form
    101,124.86/151,705.11 = 34,549.34/x
  3. Step 3: Cross multiply
    101,124.86x = 151,705.11 × 34,549.34
  4. Step 4: Simplify right side
    101,124.86x = 5,241,311,425.13
  5. Step 5: Solve for x
    x = 5,241,311,425.13/101,124.86
  6. Step 6: Final answer
    x = 51,830.10

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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.