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Finding the Fourth Proportional to 65,041.24, 97,550.52 and 18,283

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Solution

The fourth proportional to 65,041.24, 97,550.52 and 18,283 is: 27,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.24 : 97,550.52 = 18,283 : x
  2. Step 2: Convert to fraction form
    65,041.24/97,550.52 = 18,283/x
  3. Step 3: Cross multiply
    65,041.24x = 97,550.52 × 18,283
  4. Step 4: Simplify right side
    65,041.24x = 1,783,516,157.16
  5. Step 5: Solve for x
    x = 1,783,516,157.16/65,041.24
  6. Step 6: Final answer
    x = 27,421.31

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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.