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Finding the Fourth Proportional to 64,465.74, 96,718.41 and 30,774.75

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Solution

The fourth proportional to 64,465.74, 96,718.41 and 30,774.75 is: 46,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,465.74 : 96,718.41 = 30,774.75 : x
  2. Step 2: Convert to fraction form
    64,465.74/96,718.41 = 30,774.75/x
  3. Step 3: Cross multiply
    64,465.74x = 96,718.41 × 30,774.75
  4. Step 4: Simplify right side
    64,465.74x = 2,976,484,888.15
  5. Step 5: Solve for x
    x = 2,976,484,888.15/64,465.74
  6. Step 6: Final answer
    x = 46,171.58

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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.