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Finding the Fourth Proportional to 97,494.66, 146,242.02 and 35,165.16

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Solution

The fourth proportional to 97,494.66, 146,242.02 and 35,165.16 is: 52,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494.66 : 146,242.02 = 35,165.16 : x
  2. Step 2: Convert to fraction form
    97,494.66/146,242.02 = 35,165.16/x
  3. Step 3: Cross multiply
    97,494.66x = 146,242.02 × 35,165.16
  4. Step 4: Simplify right side
    97,494.66x = 5,142,624,032.02
  5. Step 5: Solve for x
    x = 5,142,624,032.02/97,494.66
  6. Step 6: Final answer
    x = 52,747.75

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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.