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Finding the Fourth Proportional to 65,100.36, 97,650.54 and 61,776.12

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Solution

The fourth proportional to 65,100.36, 97,650.54 and 61,776.12 is: 92,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100.36 : 97,650.54 = 61,776.12 : x
  2. Step 2: Convert to fraction form
    65,100.36/97,650.54 = 61,776.12/x
  3. Step 3: Cross multiply
    65,100.36x = 97,650.54 × 61,776.12
  4. Step 4: Simplify right side
    65,100.36x = 6,032,471,477.10
  5. Step 5: Solve for x
    x = 6,032,471,477.10/65,100.36
  6. Step 6: Final answer
    x = 92,664.18

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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.