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Finding the Fourth Proportional to 77,544.99, 116,318.09 and 42,465.51

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Solution

The fourth proportional to 77,544.99, 116,318.09 and 42,465.51 is: 63,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,544.99 : 116,318.09 = 42,465.51 : x
  2. Step 2: Convert to fraction form
    77,544.99/116,318.09 = 42,465.51/x
  3. Step 3: Cross multiply
    77,544.99x = 116,318.09 × 42,465.51
  4. Step 4: Simplify right side
    77,544.99x = 4,939,507,120.24
  5. Step 5: Solve for x
    x = 4,939,507,120.24/77,544.99
  6. Step 6: Final answer
    x = 63,698.60

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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.