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Finding the Fourth Proportional to 65,271.40, 97,918.98 and 43,103.32

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Solution

The fourth proportional to 65,271.40, 97,918.98 and 43,103.32 is: 64,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,271.40 : 97,918.98 = 43,103.32 : x
  2. Step 2: Convert to fraction form
    65,271.40/97,918.98 = 43,103.32/x
  3. Step 3: Cross multiply
    65,271.40x = 97,918.98 × 43,103.32
  4. Step 4: Simplify right side
    65,271.40x = 4,220,633,129.01
  5. Step 5: Solve for x
    x = 4,220,633,129.01/65,271.40
  6. Step 6: Final answer
    x = 64,662.83

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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.