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Finding the Fourth Proportional to 99,756.74, 149,550.89 and 46,421.13

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Solution

The fourth proportional to 99,756.74, 149,550.89 and 46,421.13 is: 69,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,756.74 : 149,550.89 = 46,421.13 : x
  2. Step 2: Convert to fraction form
    99,756.74/149,550.89 = 46,421.13/x
  3. Step 3: Cross multiply
    99,756.74x = 149,550.89 × 46,421.13
  4. Step 4: Simplify right side
    99,756.74x = 6,942,321,074.20
  5. Step 5: Solve for x
    x = 6,942,321,074.20/99,756.74
  6. Step 6: Final answer
    x = 69,592.50

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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.