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Finding the Fourth Proportional to 65,004.88, 89,678.16 and 38,133.76

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Solution

The fourth proportional to 65,004.88, 89,678.16 and 38,133.76 is: 52,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.88 : 89,678.16 = 38,133.76 : x
  2. Step 2: Convert to fraction form
    65,004.88/89,678.16 = 38,133.76/x
  3. Step 3: Cross multiply
    65,004.88x = 89,678.16 × 38,133.76
  4. Step 4: Simplify right side
    65,004.88x = 3,419,765,430.68
  5. Step 5: Solve for x
    x = 3,419,765,430.68/65,004.88
  6. Step 6: Final answer
    x = 52,607.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.