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Finding the Fourth Proportional to 65,809.80, 98,709.84 and 19,059.84

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Solution

The fourth proportional to 65,809.80, 98,709.84 and 19,059.84 is: 28,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.80 : 98,709.84 = 19,059.84 : x
  2. Step 2: Convert to fraction form
    65,809.80/98,709.84 = 19,059.84/x
  3. Step 3: Cross multiply
    65,809.80x = 98,709.84 × 19,059.84
  4. Step 4: Simplify right side
    65,809.80x = 1,881,393,756.83
  5. Step 5: Solve for x
    x = 1,881,393,756.83/65,809.80
  6. Step 6: Final answer
    x = 28,588.35

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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.