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Finding the Fourth Proportional to 65,234.93, 97,852.44 and 15,986.93

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Solution

The fourth proportional to 65,234.93, 97,852.44 and 15,986.93 is: 23,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.93 : 97,852.44 = 15,986.93 : x
  2. Step 2: Convert to fraction form
    65,234.93/97,852.44 = 15,986.93/x
  3. Step 3: Cross multiply
    65,234.93x = 97,852.44 × 15,986.93
  4. Step 4: Simplify right side
    65,234.93x = 1,564,360,108.61
  5. Step 5: Solve for x
    x = 1,564,360,108.61/65,234.93
  6. Step 6: Final answer
    x = 23,980.41

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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.