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Finding the Fourth Proportional to 65,783.28, 98,604.84 and 47,006.40

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Solution

The fourth proportional to 65,783.28, 98,604.84 and 47,006.40 is: 70,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.28 : 98,604.84 = 47,006.40 : x
  2. Step 2: Convert to fraction form
    65,783.28/98,604.84 = 47,006.40/x
  3. Step 3: Cross multiply
    65,783.28x = 98,604.84 × 47,006.40
  4. Step 4: Simplify right side
    65,783.28x = 4,635,058,550.98
  5. Step 5: Solve for x
    x = 4,635,058,550.98/65,783.28
  6. Step 6: Final answer
    x = 70,459.52

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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.