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Finding the Fourth Proportional to 97,495.92, 146,213.64 and 35,158.32

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Solution

The fourth proportional to 97,495.92, 146,213.64 and 35,158.32 is: 52,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,495.92 : 146,213.64 = 35,158.32 : x
  2. Step 2: Convert to fraction form
    97,495.92/146,213.64 = 35,158.32/x
  3. Step 3: Cross multiply
    97,495.92x = 146,213.64 × 35,158.32
  4. Step 4: Simplify right side
    97,495.92x = 5,140,625,943.48
  5. Step 5: Solve for x
    x = 5,140,625,943.48/97,495.92
  6. Step 6: Final answer
    x = 52,726.58

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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.