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Finding the Fourth Proportional to 88,653.81, 133,019.72 and 46,524

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Solution

The fourth proportional to 88,653.81, 133,019.72 and 46,524 is: 69,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,653.81 : 133,019.72 = 46,524 : x
  2. Step 2: Convert to fraction form
    88,653.81/133,019.72 = 46,524/x
  3. Step 3: Cross multiply
    88,653.81x = 133,019.72 × 46,524
  4. Step 4: Simplify right side
    88,653.81x = 6,188,609,220.66
  5. Step 5: Solve for x
    x = 6,188,609,220.66/88,653.81
  6. Step 6: Final answer
    x = 69,806.47

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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.