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Finding the Fourth Proportional to 65,305.37, 97,957.98 and 17,920.98

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Solution

The fourth proportional to 65,305.37, 97,957.98 and 17,920.98 is: 26,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.37 : 97,957.98 = 17,920.98 : x
  2. Step 2: Convert to fraction form
    65,305.37/97,957.98 = 17,920.98/x
  3. Step 3: Cross multiply
    65,305.37x = 97,957.98 × 17,920.98
  4. Step 4: Simplify right side
    65,305.37x = 1,755,503,000.42
  5. Step 5: Solve for x
    x = 1,755,503,000.42/65,305.37
  6. Step 6: Final answer
    x = 26,881.45

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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.