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Finding the Fourth Proportional to 97,494.96, 146,242.48 and 35,165.46

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Solution

The fourth proportional to 97,494.96, 146,242.48 and 35,165.46 is: 52,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494.96 : 146,242.48 = 35,165.46 : x
  2. Step 2: Convert to fraction form
    97,494.96/146,242.48 = 35,165.46/x
  3. Step 3: Cross multiply
    97,494.96x = 146,242.48 × 35,165.46
  4. Step 4: Simplify right side
    97,494.96x = 5,142,684,080.74
  5. Step 5: Solve for x
    x = 5,142,684,080.74/97,494.96
  6. Step 6: Final answer
    x = 52,748.20

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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.