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Finding the Fourth Proportional to 97,336.16, 145,939.32 and 34,998.56

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Solution

The fourth proportional to 97,336.16, 145,939.32 and 34,998.56 is: 52,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,336.16 : 145,939.32 = 34,998.56 : x
  2. Step 2: Convert to fraction form
    97,336.16/145,939.32 = 34,998.56/x
  3. Step 3: Cross multiply
    97,336.16x = 145,939.32 × 34,998.56
  4. Step 4: Simplify right side
    97,336.16x = 5,107,666,047.38
  5. Step 5: Solve for x
    x = 5,107,666,047.38/97,336.16
  6. Step 6: Final answer
    x = 52,474.50

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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.