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Finding the Fourth Proportional to 97,487.16, 146,230.74 and 35,157.66

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Solution

The fourth proportional to 97,487.16, 146,230.74 and 35,157.66 is: 52,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,487.16 : 146,230.74 = 35,157.66 : x
  2. Step 2: Convert to fraction form
    97,487.16/146,230.74 = 35,157.66/x
  3. Step 3: Cross multiply
    97,487.16x = 146,230.74 × 35,157.66
  4. Step 4: Simplify right side
    97,487.16x = 5,141,130,638.47
  5. Step 5: Solve for x
    x = 5,141,130,638.47/97,487.16
  6. Step 6: Final answer
    x = 52,736.49

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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.