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Finding the Fourth Proportional to 65,106.36, 97,659.54 and 61,782.12

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Solution

The fourth proportional to 65,106.36, 97,659.54 and 61,782.12 is: 92,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.36 : 97,659.54 = 61,782.12 : x
  2. Step 2: Convert to fraction form
    65,106.36/97,659.54 = 61,782.12/x
  3. Step 3: Cross multiply
    65,106.36x = 97,659.54 × 61,782.12
  4. Step 4: Simplify right side
    65,106.36x = 6,033,613,419.42
  5. Step 5: Solve for x
    x = 6,033,613,419.42/65,106.36
  6. Step 6: Final answer
    x = 92,673.18

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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.