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Finding the Fourth Proportional to 65,092.17, 97,526.80 and 35,530.75

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Solution

The fourth proportional to 65,092.17, 97,526.80 and 35,530.75 is: 53,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.17 : 97,526.80 = 35,530.75 : x
  2. Step 2: Convert to fraction form
    65,092.17/97,526.80 = 35,530.75/x
  3. Step 3: Cross multiply
    65,092.17x = 97,526.80 × 35,530.75
  4. Step 4: Simplify right side
    65,092.17x = 3,465,200,349.10
  5. Step 5: Solve for x
    x = 3,465,200,349.10/65,092.17
  6. Step 6: Final answer
    x = 53,235.29

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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.