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Finding the Fourth Proportional to 65,239.65, 97,859.49 and 18,492.93

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Solution

The fourth proportional to 65,239.65, 97,859.49 and 18,492.93 is: 27,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239.65 : 97,859.49 = 18,492.93 : x
  2. Step 2: Convert to fraction form
    65,239.65/97,859.49 = 18,492.93/x
  3. Step 3: Cross multiply
    65,239.65x = 97,859.49 × 18,492.93
  4. Step 4: Simplify right side
    65,239.65x = 1,809,708,698.41
  5. Step 5: Solve for x
    x = 1,809,708,698.41/65,239.65
  6. Step 6: Final answer
    x = 27,739.40

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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.