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Finding the Fourth Proportional to 65,014.56, 97,525.62 and 18,271.08

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Solution

The fourth proportional to 65,014.56, 97,525.62 and 18,271.08 is: 27,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.56 : 97,525.62 = 18,271.08 : x
  2. Step 2: Convert to fraction form
    65,014.56/97,525.62 = 18,271.08/x
  3. Step 3: Cross multiply
    65,014.56x = 97,525.62 × 18,271.08
  4. Step 4: Simplify right side
    65,014.56x = 1,781,898,405.07
  5. Step 5: Solve for x
    x = 1,781,898,405.07/65,014.56
  6. Step 6: Final answer
    x = 27,407.68

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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.