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Finding the Fourth Proportional to 65,206.69, 97,810.07 and 18,459.56

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Solution

The fourth proportional to 65,206.69, 97,810.07 and 18,459.56 is: 27,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.69 : 97,810.07 = 18,459.56 : x
  2. Step 2: Convert to fraction form
    65,206.69/97,810.07 = 18,459.56/x
  3. Step 3: Cross multiply
    65,206.69x = 97,810.07 × 18,459.56
  4. Step 4: Simplify right side
    65,206.69x = 1,805,531,008.00
  5. Step 5: Solve for x
    x = 1,805,531,008.00/65,206.69
  6. Step 6: Final answer
    x = 27,689.35

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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.