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Finding the Fourth Proportional to 65,148.75, 97,723.53 and 18,402.03

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Solution

The fourth proportional to 65,148.75, 97,723.53 and 18,402.03 is: 27,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.75 : 97,723.53 = 18,402.03 : x
  2. Step 2: Convert to fraction form
    65,148.75/97,723.53 = 18,402.03/x
  3. Step 3: Cross multiply
    65,148.75x = 97,723.53 × 18,402.03
  4. Step 4: Simplify right side
    65,148.75x = 1,798,311,330.77
  5. Step 5: Solve for x
    x = 1,798,311,330.77/65,148.75
  6. Step 6: Final answer
    x = 27,603.16

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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.