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Finding the Fourth Proportional to 65,300.96, 97,952.52 and 18,552.08

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Solution

The fourth proportional to 65,300.96, 97,952.52 and 18,552.08 is: 27,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.96 : 97,952.52 = 18,552.08 : x
  2. Step 2: Convert to fraction form
    65,300.96/97,952.52 = 18,552.08/x
  3. Step 3: Cross multiply
    65,300.96x = 97,952.52 × 18,552.08
  4. Step 4: Simplify right side
    65,300.96x = 1,817,222,987.24
  5. Step 5: Solve for x
    x = 1,817,222,987.24/65,300.96
  6. Step 6: Final answer
    x = 27,828.43

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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.