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Finding the Fourth Proportional to 65,245.19, 97,904.73 and 27,801.32

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Solution

The fourth proportional to 65,245.19, 97,904.73 and 27,801.32 is: 41,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.19 : 97,904.73 = 27,801.32 : x
  2. Step 2: Convert to fraction form
    65,245.19/97,904.73 = 27,801.32/x
  3. Step 3: Cross multiply
    65,245.19x = 97,904.73 × 27,801.32
  4. Step 4: Simplify right side
    65,245.19x = 2,721,880,728.24
  5. Step 5: Solve for x
    x = 2,721,880,728.24/65,245.19
  6. Step 6: Final answer
    x = 41,717.72

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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.