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Finding the Fourth Proportional to 59,783.85, 82,411.59 and 49,155.03

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Solution

The fourth proportional to 59,783.85, 82,411.59 and 49,155.03 is: 67,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,783.85 : 82,411.59 = 49,155.03 : x
  2. Step 2: Convert to fraction form
    59,783.85/82,411.59 = 49,155.03/x
  3. Step 3: Cross multiply
    59,783.85x = 82,411.59 × 49,155.03
  4. Step 4: Simplify right side
    59,783.85x = 4,050,944,178.80
  5. Step 5: Solve for x
    x = 4,050,944,178.80/59,783.85
  6. Step 6: Final answer
    x = 67,759.84

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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.