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Finding the Fourth Proportional to 65,014.77, 97,525.80 and 18,264

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Solution

The fourth proportional to 65,014.77, 97,525.80 and 18,264 is: 27,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.77 : 97,525.80 = 18,264 : x
  2. Step 2: Convert to fraction form
    65,014.77/97,525.80 = 18,264/x
  3. Step 3: Cross multiply
    65,014.77x = 97,525.80 × 18,264
  4. Step 4: Simplify right side
    65,014.77x = 1,781,211,211.20
  5. Step 5: Solve for x
    x = 1,781,211,211.20/65,014.77
  6. Step 6: Final answer
    x = 27,397.02

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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.