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Finding the Fourth Proportional to 65,297.64, 97,946.48 and 52,233.05

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Solution

The fourth proportional to 65,297.64, 97,946.48 and 52,233.05 is: 78,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,297.64 : 97,946.48 = 52,233.05 : x
  2. Step 2: Convert to fraction form
    65,297.64/97,946.48 = 52,233.05/x
  3. Step 3: Cross multiply
    65,297.64x = 97,946.48 × 52,233.05
  4. Step 4: Simplify right side
    65,297.64x = 5,116,043,762.61
  5. Step 5: Solve for x
    x = 5,116,043,762.61/65,297.64
  6. Step 6: Final answer
    x = 78,349.59

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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.