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Finding the Fourth Proportional to 65,133.96, 97,712.64 and 23,038.44

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Solution

The fourth proportional to 65,133.96, 97,712.64 and 23,038.44 is: 34,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.96 : 97,712.64 = 23,038.44 : x
  2. Step 2: Convert to fraction form
    65,133.96/97,712.64 = 23,038.44/x
  3. Step 3: Cross multiply
    65,133.96x = 97,712.64 × 23,038.44
  4. Step 4: Simplify right side
    65,133.96x = 2,251,146,793.88
  5. Step 5: Solve for x
    x = 2,251,146,793.88/65,133.96
  6. Step 6: Final answer
    x = 34,561.80

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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.